6. Trigonometría Tri C3S14 Altura del asta (lenguaje natural) Cuando los rayos del sol forman un ángulo de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«/math» con la horizontal, la sombra de un asta vertical mide «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«/math»«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#32;«/mo»«mi»m«/mi»«/math» ¿Cuál es la altura «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«/math» del asta ?

#graf

Observación:

Si el resultado es un número decimal escríbelo con punto y con dos decimales.

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iigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACisT4l+JZ/Bnw48QaxarE9zpWm3N5CsoJRnjiZ1DAEHGQM4I+tVPgr4zuviP8ABvwl4hvo4Ir3XtGs9RuEgUrEkk0CSMEBJIUFjjJJx3NAHTUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//2Q== Para calcular la altura del asta utilizaremos la tangente .

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mo»§#32;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»l«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«/mrow»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mi»a«/mi»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#32;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»l«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mo»§#32;«/mo»«mi»tan«/mi»«mo»§#32;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»l«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«/math»

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«/math» es altura del asta y la longitud de la sombra que proyecta es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«/math», entonces

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»h«/mi»«mrow»«mo»#«/mo»«mi»y«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»tan«/mi»«mo»#«/mo»«mi»x«/mi»«/math»

despejando la altura h

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«mo» «/mo»«mo»#«/mo»«mi»y«/mi»«mo»§#183;«/mo»«mi»tan«/mi»«mo»#«/mo»«mi»x«/mi»«mspace linebreak=¨newline¨/»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»#«/mo»«mi»x«/mi»«mo»§#8776;«/mo»«mo»#«/mo»«mi»d«/mi»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«mo»#«/mo»«mi»y«/mi»«mo»§#183;«/mo»«mo»#«/mo»«mi»d«/mi»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«/math»

Reporta y/o califica esta pregunta:

1. Copia este código: Tri. C3. S14.

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

]]> 1 .3333333 0 0 h=#sol]]> Muy bien

]]> ---- Revisemos el procedimiento para mejores resultados, si aún tienes dudas consulta a tu profesor.

]]> - Santiago Sur 24/6

Modificado: La observación El tamaño y tipo de letra no es el establecido.

En la Retroalimentación: Centrar las fórmulas. Corregido

Comentarios: Arnoldo 02/06/2016

Pendiente: Se sugiere hacer más aleatorio el ejercicio, es decir variar los datos, incluir conceptos cómo ángulo de elevación, determinar la sombra ... etc.

PENDIENTE: Según acuerdos tomados en la Serena , incluir fotos en las preguntas genera problemas en la plataforma, la sugerencia es programar los triángulos en el tablero de WIRIS y etiquetar puntos. modificado

PENDIENTE: Incluir en la observación a cuantos decimales redondear modificado

Pendiente: Incluir en el espacio de respuesta: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«/math»..... modificado

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