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Does anybody know this? A house casts a shadow that is 57 feet long at the same time a girl who is 4.7 feet tall casts a shadow that is 9.4 feet long how tall is the house do not round your answer

Does anybody know this A house casts a shadow that is 57 feet long at the same time a girl who is 47 feet tall casts a shadow that is 94 feet long how tall is t class=

Respuesta :

Answer:

h = 28.5 ft

Step-by-step explanation:

the 2 situations are similar, that is the triangles formed in both cases are similar.

then the ratios of corresponding sides are in proportion

let h be the height of the house , then

[tex]\frac{4.7}{h}[/tex] = [tex]\frac{9.4}{57}[/tex] ( cross- multiply )

9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )

h = 28.5 ft

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