Question

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

Answer 1

Answer: 97 meters

Explanation:

Draw 2 right triangles KLM and ABC.

ML=3.2 m ( is a pole) KL =1.29 m( pole's shadow).

(The triangle KLM is right because we suppose that pole is staying vertically).

In triangle AB is tower's shadow= 39.25 m and BC is the height og tower=x meters?

Triangles KLM and ABC are similar .

So ML/KL=x/AB

3.2/1.29=x/39.25

x=3.2*39.25/1.29= approx 97.36 meters= 97 meters