Question

A pole that is 3.5m tall casts a shadow that is 1.32m long. At the same time, a nearby tower casts a shadow that is 46.5 long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

123 m

Explanation:

Assuming the height of the shadow of tower is taken at the same time the height of shadow of a tree is taken, the magnification factor is the same

The ratio of image to object for tree will be 1.32/3.5=0.377142857

The same ratio is applied for the tower, therefore, the real height of tower will be 46.5/0.377142857 =123.2954545

To the nearest meter, the height is approximately 123 m