Question

A lakefront cottage that is 30 feet high casts a shadow on the water. How long is that shadow if a 16-foot-high truck parked nearby casts an 8-foot shadow?

Answer 1

15 ft

Explanation:

We can use the properties of similar triangles.

16/8 = 30/x

2 = 30/x Multiply each side by x

2x = 30 Divide each side by 2

x = 15 ft

The shadow is 15 ft long.

Check:

16/8 = 30/15

2 = 2