Question

A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

• 103 m

Explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

• 47.75/1.53 = x/3.3
• x = 3.3*47.75/1.53
• x = 103 m rounded to nearest meter