1MA 02. RESOLUCIÓ DE TRIANGLES/1MA.02.1 Resolució de triangles rectangles/1MA.02.1.3 Triangles no rectangles (tg) 1MA.02.1.3.13Q ResolAmbTg AmpleRiu Sabent que la distància entre dos punts A i B és de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»m«/mi»«/mrow»«/mstyle»«/math» i que des del punt A es veu un arbre de l'altre costat del riu sota un angle de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»A«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#186;«/mo»«/mrow»«/mstyle»«/math» i des del punt B sota un angle  de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»B«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#186;«/mo»«/mrow»«/mstyle»«/math». Quina és l'amplada del riu si els dos punts es situen més avall de l'arbre en el curs del riu?

Format: als mil·lèsims i sense unitats.
 
 
]]> 1.0000000 0.5000000 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>m</mi><mo>:</mo><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>:</mo><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>45</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>:</mo><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>45</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>m</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mi>B</mi><mo>º</mo><mo>)</mo></mrow><mrow><mi>tan</mi><mo>(</mo><mi>A</mi><mo>º</mo><mo>)</mo><mo>+</mo><mi>tan</mi><mo>(</mo><mi>B</mi><mo>º</mo><mo>)</mo></mrow></mfrac><mo>*</mo><mi>tan</mi><mo>(</mo><mi>A</mi><mo>º</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tolerància</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>001</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>,</mo><mi>B</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>43</mn><mo>,</mo><mn>45</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>3.3778</mn></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^(-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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Traça l'altura corresponent al vèrtex de l'arbre. Tens dos triangles rectangles:

Calcula les tangents dels dos angles en funció del costat oposat y i dels costats adjacents, x i (#m - x).

Aïlla y i iguala les dues expressions per trobar x.

Substitueix per trobar y.

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