Question

A pole that is 3m tall cast a shadow that is 1.15m long at the same time a nearby building cast a shadow that is 40.75m long. How tall is the building

Answer 1

The heights and shadows of the objects are legs of similar right triangles. We can use these similar triangles to set up a proportion to solve for the height of the building.

2.9 / 1.26 = x / 47.25

x = 108.75 m