Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.

Question

Mathematics

Jeremy Singh

22 December, 17:48

Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.

+5

Answers (1)

Know the Answer?

Kasey Cooley · Answer 1

The height of the lighthouse is:

h = 14 ft (same as the distance from Kelly to a lighthouse).

tan y = 14 / (14 + 12) = 14 / 26 = 0.5384615

y = tan^ (-1) 0.5384615 = 28.3°

Answer: y = 28.3°