1MA 02. RESOLUCIÓ DE TRIANGLES/1MA.02.3 Resolució de problemes 1MA.02.3.11R Diagonal paral·lelogram Redacta com resoldries l'exercici següent,

explicant què vols fer i perquè.

Dos costats d’un parlal·lelogram mesuren a  i b . La longitud de la diagonal més curta és de d , troba la longitud de l’altra diagonal. 

 

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.12R altura d'un núvol Redacta com resoldries l'exercici següent, explicant què vols fer i perquè.

Per mesurar l’altura d’un núvol s’han fet simultàniament dues observacions des dels punts A i B distants entre si 1 quilòmetre i situats tots dos al nivell del mar. La inclinació de la visual des de A al núvol respecte a la horitzontal és de A1º. Els angles que formen les visuals de de A i des de B amb la recta AB són, respectivament, de A2◦ i B◦ tal com s’indica a la figura següent: 

Calculeu l’altura del núvol respecte al nivell del mar. 

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.13R làmpada penjada Redacta com resoldries l'exercici següent, explicant què vols fer i perquè.

Volem penjar un llum a una certa distància del sostre d’una habitació. Per fer-ho, agafem una corda, hi lliguem el llum i la clavem pels extrems en dos punts del sostre separats per una distància de d centímetres, de manera que els angles entre la corda i el sostre són de A◦ i B◦ a cada un dels extrems.

(a) Quina serà la longitud total de la corda? (b) A quina distància del sostre quedarà el llum?

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.14R Moviment circular Redacta com resoldries l'exercici següent, explicant què vols fer i perquè.

a)  Una roda d'una màquina ha donat 5 voltes i mitja. Quina és la mesura de l'angle que ha girat qualsevol punt del volant?

b)  I si ha donat 4 voltes i quart?

c)  I si ha donat 10 voltes i tres quarts?

d)  Si un punt de la roda ha girat un angle de mesura 2520º, quantes voltes ha donat? I si l'angle és de 1200º?

e)  Troba un gir de menys d'una volta que deixi la roda en la mateixa posició que un gir de 900º.

f)  Si la roda pot girar en tots dos sentits, com creus que podem diferenciar un sentit de gir de l'altre quan donem la mesura de l'angle recorregut? 

 

 

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.15R Vaixell direcció nord ouest Redacta com resoldries l'exercici següent, explicant què vols fer i perquè.

Un vaixell surt d'un port navegant a v Km/h. La distància entre el port i un far que està en direcció nord és de m Km. Si el vaixell navega en direcció nord-est, troba la seva distància al far al cap de dues hores d'haver sortit del port. 

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.16R Distància astres i paral·laxi Redacta com resoldries l'exercici següent, explicant què vols fer i perquè.

El procés seguit per calcular determinades distàncies està basat en l'efecte de paral·laxi. És el mateix procediment que s'ha fet servir en astronomia per a saber amb precisió les distàncies a les quals es troben els astres.

a)  Així per a saber la distància de la Terra a la Lluna es fan observacions agafant com a base una distància igual al radi de la Terra (6 370 km). L'angle β (angle de paral·laxi) té un valor de 0,95º. Calcula amb aquestes dades la distància de la Terra a la Lluna.

b)  L'estel més proper a la Terra és Alpha Centauri. Utilitzant com a base d'observació el diàmetre de l'òrbita de la Terra al voltant del Sol ( la distància de la Terra al Sol és de 150 milions de km) i sabent que l'angle de paral·laxi és de 1,52 segons d'arc, calcula la distància a que ens trobem d'aquest estel

 

 

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 1MA.02.3.41Q PerimètreÀreaHexàgon Calcula el perímetre i l'àrea d'un hexàgon inscrit en una circumferència de radi r =  #r 

Resultat amb enters fraccions o arrels simplificades

]]> 1.0000000 0.5000000 0 0 a) Perímetre=#sol1b) Àrea=#sol2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>r</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mo>*</mo><msqrt><mn>3</mn></msqrt></mrow><mn>2</mn></mfrac><mo>*</mo><msup><mi>r</mi><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>75</mn><mo>*</mo><msqrt><mn>3</mn></msqrt></mrow><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#x02009;</mo><mi>P</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>&#x000ED;</mi><mi>m</mi><mi mathvariant="normal">e</mi><mi>t</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#x000A0;</mo><mi>&#x000C0;</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Perímetre: En un hexàgon regular inscrit, el costat és igual al radi de la circumferència.

Per l'àrea, l'hexàgon està format de 6 triangles equilàters dels quals es fàcil calcular l'altura amb el teorema de Pitàgores.

]]> 1MA.02.3.44Q 2003J TCosinus Triangle, àrea, suma costats D'un triangle sabem que la suma de dos dels costats és de #s cm, que l'angle C oposat al tercer costat val 30º  i que l'àrea és de #p cm2. 

Calculeu la longitud dels 3 costats i els 3 angles.

Format de les respostes: costats {2,3,4} angles {30,80,70}. Arrodonits a la unitat

]]> El triangle proposat és #G1

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>55</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>5</mn><mo>*</mo><msqrt><mn>3</mn></msqrt><mo>,</mo><mn>5</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>11</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math 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mathvariant="normal">e</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>   #G1

Sabem que a+b = #s, per tant, b = #s - a.

L'altura sobre el costat a és h =  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#000066¨»b«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»§#183;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#000066¨»sin«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#000066¨»30«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»§#186;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»§#160;«/mo»«mfrac mathcolor=¨#000066¨»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»=«/mo»«mfrac mathcolor=¨#000066¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»a«/mi»«/mrow»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«/mstyle»«/math».

L'àrea del triangle és doncs «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac mathcolor=¨#000066¨»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«mi mathvariant=¨bold¨»a«/mi»«mfenced»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»a«/mi»«/mrow»«/mfenced»«/mrow»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«/mstyle»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#000066¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#000066¨»p«/mi»«/mstyle»«/math» 

a · (#s - a) = 4 · #p té dues solucions intercanviables que són a i b.

 

També es pot raonar amb les 3 equacions i substituir a i h a la 3a per trobar b

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»b«/mi»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#8658;«/mo»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi mathvariant=¨bold¨»h«/mi»«mo mathvariant=¨bold¨»=«/mo»«mi mathvariant=¨bold¨»b«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»sin«/mi»«mn mathvariant=¨bold¨»30«/mn»«mo mathvariant=¨bold¨»§#186;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mfrac»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»h«/mi»«/mrow»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»p«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#8658;«/mo»«mfrac mathcolor=¨#00007F¨»«mrow»«mfenced»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»b«/mi»«/mrow»«/mfenced»«mo mathvariant=¨bold¨»§#183;«/mo»«mstyle displaystyle=¨true¨»«mfrac»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«/mstyle»«/mrow»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»p«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#8658;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»-«/mo»«msup mathcolor=¨#00007F¨»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»+«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»s«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#183;«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»b«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»-«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»4«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#183;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»p«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»0«/mn»«/mstyle»«/math»

el costat c es pot calcular aplicant el teorema del cosinus

 

 Els 3 costats són #sol1

 

]]> Per a determinar l'angle A, com que sabem els 3 costats, apliquem el teorema del cosinus, aïllant l'angle A:

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L'angle B és 180º - 30º - A.

I els angles són #sol2

]]> 1MA.02.3.61Q 2000s TSinusBertaVaixell Dos amics, l'Àlex i la Berta, són cadascun al terrat de casa seva, veuen un vaixell i els interessa determinar la distància a què es troba.
a) Primer de tot volen calcular la distància que separa el teodolit de l'Àlex del de la Berta. Sigui A el punt on l'Àlex té plantat el teodolit i B el punt on la Berta té situat el seu. L'Àlex mesura exactament al seu terrat una distància AC = #b1 m, de manera que el triangle ACB és rectangle a A. Llavors la Berta mesura l'angle  B d'aquest triangle i resulta que és de #B11º.


b) Per determinar a quina distància és el vaixell, l'Àlex mesura l'angle que formen a A les visuals A-vaixell i A-B, que resulta que és #A21º, i la Berta l'angle que formen a B les visuals B-A i B-vaixell, que és de #B21º.
 
a) Quina és la distància entre la Berta i l'Àlex
b) A quina distància és el vaixell de la Berta? 


Resultats arrodonits als dècims.

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name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Només cal calcular el costat adjacent a l'angle B, coneixent  l'angle i el costat oposat.

#G1

 

Arrodonit, el costat AB mesura: #sol1 (feu servir la quantitat exacta per la resta del problema)

]]> En el triangle AVB, es calcula l'angle V amb 180º - #A21º - #B21º.

#G2

S'aplica el teorema del sinus, ja que tenim els angles i el costat oposat a un d'ells.

]]> 1MA.02.3.62Q 2000J TsinusEl circ El circ és a la ciutat i s'ha d'instal·lar. L'especialista en muntar-lo encara no ha arribat i els altres no saben la quantitat de cable d'acer que necessiten. El més espavilat recorda que, un cop tensat el cable des de l'extrem del pal principal fins a un punt determinat del terra amb el qual forma un angle de 60 º, calen #m1 metres més de cable que si forma amb el terra un angle de #a2 º. En total han de posar sis cables tensats formant amb el terra un angle de 60ª. Quants metres de cable necessiten?

 

Arrodoneix a la unitat

]]> 1.0000000 0.3333333 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><mfrac><mrow><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>24</mn><mo>)</mo></mrow><mn>10</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>65</mn><mo>,</mo><mn>75</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mrow><mi>m1</mi><mo>*</mo><mi>sin</mi><mfenced><mrow><mn>60</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol></mrow></mfenced></mrow><mrow><mi>sin</mi><mo>(</mo><mi>b</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo><mo>-</mo><mi>sin</mi><mfenced><mrow><mn>60</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol></mrow></mfenced></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>6</mn><mo>*</mo><mfenced><mrow><mfrac><mrow><mi>m1</mi><mo>*</mo><mi>sin</mi><mfenced><mrow><mn>60</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol></mrow></mfenced></mrow><mrow><mi>sin</mi><mo>(</mo><mi>b</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo><mo>-</mo><mi>sin</mi><mfenced><mrow><mn>60</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol></mrow></mfenced></mrow></mfrac><mo>+</mo><mi>m1</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>arrodoneix</mi><mo>(</mo><mi>sol1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>sin</mi><mfenced><mrow><mn>60</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>75</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>105</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>110</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16.471</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>  

 L'angle B del triangle blau és igual a 180º - #a2

Apliquem el teorema del sinus al triangle ABC, i aïllem x.

El valor aproximat de x és #sol2

 

]]> Només cal sumar #m1 al valor exacte de #sol2 i multiplicar per 6 per trobar la longitud total de cable.

]]> 1MA.02.3.63Q 1998J TSinus Amplada del riu Torre Es vol mesurar l'amplada d'un riu. A una distància de #d1 m d'una de les ribes hi ha una torre de telecomunicacions de #h1 m d'alçària. Pugem dalt de la torre i observem l'angle que formen les visuals que van cap a una riba i cap a l'altra, que és de #B1º.
Feu un croquis de la situació i calculeu, amb aquestes dades, l'amplada del riu.
Arrodoniu els càlculs a la unitat.

]]>  

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Es calcula primer la hipotenusa AB del triangle rectangle ADB, amb el teorema de PItàgores.

També es pot calcular l'angle A en el triangle ADB, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#999999¨»A«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#999999¨»=«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#999999¨»atg«/mi»«mfrac mathcolor=¨#999999¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»h«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»d«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#999999¨»§#8771;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#999999¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#999999¨»A«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#999999¨»1«/mn»«/mrow»«/mstyle»«/math»

En el triangle ABC, podem calcular els 3 angles,

  • A = 180º - A (són suplementaris)
  • B = #B1º (enunciat)
  • C = 180º - A - B

i com que tenim un costat (AB), podem calcular AC amb el teorema del sinus.

]]> 1MA.02.3.64 TSinus: Sequoia Una sequoia de Califòrnia es veu des d’un cert punt sota un angle de #C1 ° i, si ens hi acostem #d m, es veu sota un angle de #C2 °. Calcula l’alçada de l’arbre.

Format de la resposta: 24.53 (arrodonit als centèsims, amb PUNT i sense unitats).

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1.0000000 0.5000000 0 0 #s <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>55</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>35</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>65</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi>C2</mi><mo>-</mo><mi>C1</mi></math></input></command><command><input><math 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En el triangle CEB, l'angle «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#945;«/mi»«/math» mesura 180- «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#946;«/mi»«/math».

I per tant «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#948;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#0000FF¨»180«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#186;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»B«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#945;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#0000FF¨»180«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#186;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»B«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»(«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#0000FF¨»180«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#186;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#946;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»)«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#946;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»B«/mi»«/math»

Apliquem el teorema del sinus en el triangle CEB per calcular el costat CE oposat a B conegut, amb el costat EB conegut i l'angle «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#948;«/mi»«/math» conegut.

Per calcular CD, n'hi ha prou amb escriure que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»sin«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#946;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mfrac mathcolor=¨#0000FF¨»«mi mathvariant=¨bold¨»CD«/mi»«mi mathvariant=¨bold¨»CE«/mi»«/mfrac»«/math»

 

 

]]> 1MA.02.3.65Q 2001J TSinus Angles+Àrea L'àrea del triangle de vèrtex A, B i C és de  #s m2. L'angle en A d'aquest triangle és #A1º i l'angle en B és  #B1º. Sigui D el peu de l'altura des del vèrtex C, és a dir el punt del segment Ab tal que CD és perpendicular a AB.

 

Calculeu la longitud de CD, AB, AC i CB.

Format de les respostes:  Arrodonides als centèsims

]]> 1.0000000 1.0000000 0 0 CD=#d1AB=#c1AC=#b1CB=#a1]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>s</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>49</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mn>45</mn></mtd></mtr><mtr><mtd><mi>B1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>35</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C1</mi><mo>=</mo><mn>135</mn><mo>-</mo><mi>B1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A2</mi><mo>=</mo><mi>A1</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B2</mi><mo>=</mo><mi>B1</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C2</mi><mo>=</mo><mi>C1</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msqrt><mfrac><mrow><mi>sin</mi><mo>(</mo><mi>B2</mi><mo>)</mo><mo>*</mo><mn>2</mn><mo>*</mo><mi>s</mi></mrow><mrow><mi>sin</mi><mo>(</mo><mi>C2</mi><mo>)</mo><mo>*</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt></mrow></mfrac></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>A2</mi><mo>)</mo></mrow><mrow><mi>sin</mi><mo>(</mo><mi>B2</mi><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>C2</mi><mo>)</mo></mrow><mrow><mi>sin</mi><mo>(</mo><mi>B2</mi><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><msqrt><mn>2</mn></msqrt></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>a</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>d</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>c</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>b</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mi>c1</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T1</mi><mo>=</mo><mi>tauler</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>centre</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>,</mo><mi>amplada</mi><mo>=</mo><mn>50</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>50</mn><mo>,</mo><mi>mostrar_eixos</mi><mo>=</mo><mi>fals</mi></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mi>triangle</mi><mo>(</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>)</mo><mo>,</mo><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>vermell</mi><mo>,</mo><mi>amplada_línia</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mi>B</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>mostrar_etiqueta</mi><mo>=</mo><mi>cert</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mi>C</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>mostrar_etiqueta</mi><mo>=</mo><mi>cert</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mi>A</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>mostrar_etiqueta</mi><mo>=</mo><mi>cert</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mi>D</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>mostrar_etiqueta</mi><mo>=</mo><mi>cert</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sup</mi><mo>=</mo><mi>àrea</mi><mfenced><mrow><mi>triangle</mi><mfenced><mrow><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi></mrow></mfenced></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.232</mn><mo>,</mo><mn>9.4431</mn><mo>,</mo><mn>20.368</mn><mo>,</mo><mn>6.68</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>,</mo><mi>b1</mi><mo>,</mo><mi>c1</mi><mo>,</mo><mi>d11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.23</mn><mo>,</mo><mn>9.44</mn><mo>,</mo><mn>20.37</mn><mo>,</mo><mi>d11</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>68</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sup</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>68.036</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A1</mi><mo>,</mo><mi>B1</mi><mo>,</mo><mi>C1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>45</mn><mo>,</mo><mn>26</mn><mo>,</mo><mn>109</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mi>D</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>A</mi><mi>B</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>A</mi><mi>C</mi><mo>=</mo><mo>#</mo><mi>b</mi><mn>1</mn><mspace linebreak="newline"/><mi>C</mi><mi>B</mi><mo>=</mo><mo>#</mo><mi>a</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1MA.02.3.66Q 2003J TSinus antena edifici

Al terrat d'un edifici hi ha instal·lada una antena de telefonia mòbil. Des d'un punt P del carrer, l'angle entre l'horitzontal i la línia que va de P cap a l'extrem superior de l'antena és de #P1°. Ens apropem fins a un punt Q que és #d1 metres més a prop de l'edifici i ara l'angle entre l'horitzontal i la línia que apunta cap a l'extrem superior de l'antena és de #D1°, mentre que l'angle entre l'horitzontal i la línia que apunta cap a l'extrem inferior de la mateixa antena és de #C1°.

 Feu un esquema de la situació

a)  Calculeu la distància de Q a l'extrem superior de l'antena.

b)  Calculeu la distància de Q a l'extrem inferior de l'antena.

c)  Calculeu l'altura de l'antena 

d)  Calculeu l'altura  de l'edifici. 

 

Format de les respostes:  Arrodonides als centèsims

]]> 1.0000000 1.0000000 0 0 a)=#sol1b)=#sol2c)=#sol3d)=#sol4]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>35</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>D1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>35</mn><mo>,</mo><mn>44</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>C1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>35</mn><mo>)</mo></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mfenced><mrow><mi>P1</mi><mo>&lt;</mo><mi>D1</mi></mrow></mfenced><mo>∧</mo><mfenced><mrow><mi>D1</mi><mo>&gt;</mo><mi>C1</mi></mrow></mfenced></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q1</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>D1</mi></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>AQ</mi><mo>=</mo><mi>BQ</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>D1</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>QC</mi><mo>=</mo><mfrac><mi>AQ</mi><mrow><mi>cos</mi><mo>(</mo><mi>C1</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>QC</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>AB</mi><mo>=</mo><mi>BQ</mi><mo>*</mo><mi>sin</mi><mfenced><mrow><mi>D1</mi><csymbol 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>AC</mi><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P1</mi><mo>,</mo><mi>d1</mi><mo>,</mo><mi>D1</mi><mo>,</mo><mi>C1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>26</mn><mo>,</mo><mn>18</mn><mo>,</mo><mn>38</mn><mo>,</mo><mn>35</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>142</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>37.95</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>36.51</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.42</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20.94</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">6</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1MA.02.3.70Q 1999J Altura d'un núvol
Quina és l'altura del núvol?

Format de la resposta: km, arrodonit als cent-mil·lèsims

]]> 1.0000000 0.5000000 0 0.5841 0.005 0 0.1000000 3 0 Primer es calcula la distància de A a Núvol amb el teorema del sinus, en el triangle ABNúvol.
Després es calcula el costat oposat a A en el triangle rectangle, ACNúvol, si C és el punt de terra que es troba a la vertical del núvol.

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