What is the approximate height, in feet, of the house?

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.

Answer 1

The ratio of the pole to its shadow is 9/12=3/4.

The same ratio applies to the house and its shadow: height/32=3/4.

So the height of the house is 32×3/4=24 feet.