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?

Question

Mathematics

Zion Haley

23 January, 22:52

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?

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Answers (1)

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Ben Ayers · Answer 1

15 ft

Step-by-step 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