From the top of a 192-ft lighthouse, the angle of depression to a ship in the ocean is 18 degrees. How far is the ship from the base of the lighthouse?

Question

asked Aug 27, 2024 29.5k views

1 Answer

Yakya · Answer 1 · 2024-09-03T17:55:14+0000

Explanation:

192 ft and the distance form the legs of a right triangle

TAN 18 degrees = opposite leg / adjacent leg = 192/d

tan18 = 192/d

d = 192 / tan18 = ~ 591 ft <===== ( rounded to three Sig Dig)