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?

Answer 1

The ratio of the height to the shadow of the flagpole is 9:12=3:4. Since the shadow of the house is 32 feet long, the ratio of its shadow to its height is also 3:4=24:32. This means that the height of the house in feet is 24 feet. Hope this helps!