A telephone pole casts a shadow that is 29 m long. Find the height of the telephone pole if a statue that is 38 cm tall casts a shadow 78 cm long

Question

options

A.) 12.6m

B.) 58.0m

C.) 59.5m

D.) 14.1m

Answer 1

The answer is D.

Apply the concept of similar right triangles and proportionality to find the answer.

Specifically, one may set the ratio of the telephone pole's height and shadow equal to the ratio of the statue's height and shadow.

Recognize that the units used for the statue are cm and the unit for the telephone is m.

Thus, h/29 = 0.38/0.78.

Cross multiply to get 0.78h = 11.02.

Divide to arrive at h = 14.128 m