Question

Bob is 1.8 m tall and casts a shadow that is 6 m long. The distance from the end of Bob's shadow to the bottom of the phone tower is 60 m. What is the height of the phone tower?

A) 20 m
B) 30 m
C) 40 m
D) 50 m

Answer 1

The height of the phone tower is 18 m.

Step-by-step explanation:

To find the height of the phone tower, we can use similar triangles. Let's label the height of the phone tower as 'h'. We have the following ratios:

Bob's height to his shadow's length: 1.8 / 6 = h / 60

Cross-multiplying and solving for 'h', we get:

h = (1.8 / 6) * 60

h = 18 m

Therefore, the height of the phone tower is 18 m.