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Si una escalera de bomberos de 37 metros de longitud,se apoya en la pared de un edificio,poniendo el pie de la escalera a 12 metros del edificio, ¿que altura, en metros, alcazan la escalera?

Sagot :

whitneytr12

Answer:

La escalera alcanza 35 metros de altura.

Step-by-step explanation:

La altura que alcanza la escalera se puede calcular usando Pitágoras:

[tex] L^{2} = B^{2} + A^{2} [/tex]

En donde:

L: es la longitud de la escalera = 37 m

B: es la distancia del pie de la escalera al edificio = 12 m

A: es la altura =?

Entonces, la altura es:

[tex] A = \sqrt{L^{2} - B^{2}} = \sqrt{(37 m)^{2} - (12 m)^{2}} = 35 m [/tex]

Por lo tanto, la escalera alcanza 35 metros de altura.

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