A building across the street casts a shadow that is 24 feet long. Your friend is 6 feet tall and casts a shadow that is 4 feet long what is the height of the building?

Question

asked Sep 11, 2020 113k views

1 Answer

STiLeTT · Answer 1 · 2020-09-17T11:57:09+0000

Answer:

36 feet

Explanation:

This is a simple case of ratio and proportionality.

We can thing of it as "if x (height of building) casts a shadow of 24, then 6 casts a shadow of 4".

We can write this as:

(x)/(24)=(6)/(4)

We cross multiply and solve for x (height of the building in feet):

$(x)/(24)=(6)/(4)\\4x=6*24\\4x=144\\x=36$

The height of building is 36 feet