Question

A pole that is 3.2m tall casts a shadow that is 1.29m long. At the same time, a nearby tower casts a shadow that is 39.25m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

Set up a ratio of height over shadow length:

3.2/1.29 = X/39.25

Cross multiply:

1.29x = 3.2 * 39.25

Simplify:

1.29x = 125.6

Divide both sides by 1.29:

x = 97.364 meters

Round to the nearest meter = 97 meters