Question

A flagpole that is 9 feet high casts a shadow 12 feet long. At the same time, a house casts a shadow 32 feet long. If the right triangle formed by the flagpole and its shadow is similar to the right triangle formed by the house and its shadow, what is the approximate height, in feet, of the house? A,16

B,20
c,24
D,26

Answer 1

C 24

Explanation:

The two triangles formed will be similar.

Two similar triangles have the ratio of the corresponding sides being proportional.

`(height \: o \:house)/(height \: of \: flagpole) = (shadow \: of \: house)/(shadow \: of \: flagpole)`

`(height \: o \:house)/(9) = (32)/(12)`

`height \: of \: house= (32)/(12) * 9`

`heigt \: of \: house = 24ft`