Question

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?

Answer 1

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