6. Trigonometría Tri C4 S01 .Lenguaje natural. Teorema del coseno. Dos vías aéreas se cruzan bajo un ángulo de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»§#947;«/mi»«/math». En cierto instante, el avión «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«/math» está a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»K«/mi»«mi»m«/mi»«/math» del cruce, en tanto que el avión «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«/math» se encuentra a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»K«/mi»«mi»m«/mi»«/math» del mismo cruce. Calcula la distancia «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»c«/mi»«mo»)«/mo»«/math» que separa a los dos aviones en ese instante.

Observaciones

- Debes ingresar tu respuesta sin unidades de medida, es decir, si el resultado es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»56«/mn»«mo»§#160;«/mo»«mi»K«/mi»«mi»m«/mi»«/math», ingresa «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»56«/mn»«/math»

- Utiliza punto como separador decimal.Por ejemplo, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»34«/mn»«mo».«/mo»«mn»6«/mn»«/math»

- Sólo utiliza una cifra en los decimales.

#graf

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

Para calcular la distancia «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»c«/mi»«mo»)«/mo»«/math» que separa a los dos aviones en un determinado instante, ocuparemos el teorema del coseno:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mo»§#183;«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mi»b«/mi»«mo»§#183;«/mo»«mi»cos«/mi»«mi»§#947;«/mi»«/math»

Reemplazando en la fórmula los datos del ejercicio, obtenemos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»(«/mo»«mn»2«/mn»«mo»§#183;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#183;«/mo»«mi»cos«/mi»«mo»#«/mo»«mi»§#947;«/mi»«mo»)«/mo»«/math»

Luego, la respuesta correcta es:«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»c«/mi»«mo»=«/mo»«msqrt»«mo»(«/mo»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»(«/mo»«mn»2«/mn»«mo»§#183;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#183;«/mo»«mo»(«/mo»«mi»cos«/mi»«mo»(«/mo»«mo»#«/mo»«mi»§#947;«/mi»«mo»)«/mo»«mo»)«/mo»«mo»)«/mo»«/msqrt»«/math»

Reporta y/o califica esta pregunta:

1. Copia este código: Tri. C4. S01.

2. Presiona este enlace, pega el código y completa el formulario

]]> 1 .3333333 0 0 Distancia=#sol]]> Muy bien, felicidades.

]]> - Al parecer has cometido un error. Si sigues con la duda, consulta con tu profesor.

]]> * Santiago - Sur 24-06-2016

- Las fórmulas deben estar centradas en la retroalimentación

- Realizar los desarrollos de las diferentes operaciones en la retroalimentación (anotar los resultados de los cuadrados, de las multiplicaciones, del coseno y finalmente de la raíz con varios decimales, para luego aproximar)

- Al final de la frase "Por lo tanto" se debe anotar la respuesta correcta, ya que la última linea de la retroalimentación la da Wiris por defecto y no es visible para el alumno.

- La respuesta acepta varios decimales,se debería agregar en la observación que aproxime o lo trunca.

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definitionURL="http://.../units/degree/angular">°</csymbol></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>70</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>130</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>γ</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mo>(</mo><mo>(</mo><mo>(</mo><msup><mi>a</mi><mn>2</mn></msup><mo>)</mo><mo>+</mo><mo>(</mo><msup><mi>b</mi><mn>2</mn></msup><mo>)</mo><mo>)</mo><mo>-</mo><mo>(</mo><mn>2</mn><mo>*</mo><mo>(</mo><mi>a</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>f</mi><mo>)</mo><mo>)</mo><mo>)</mo></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mi>d</mi><mo>></mo><mn>0</mn></mrow></apply></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>x</mi><mo>=</mo><msqrt><mi>d</mi></msqrt></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>sol</mi><mo>=</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anchura_ventana</mi><mo>(</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>altura_ventana</mi><mo>(</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>BC</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>CA</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>BC</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>BA</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>BC</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>tablero</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mi>triángulo</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mo>(</mo><mi>T</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mostrar_malla</mi><mo>(</mo><mi>falso</mi><mo>)</mo></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>DISTANCIA</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T</mi><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"/></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"/></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"/></input></command><command><input><math 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id="2">*</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">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data><data name="inputCompound">true</data></localData></question>