Question

From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees.

How far is the ship from the base of the lighthouse?

I know I did it right by the key says its wrong. Please provide steps

Answer 1

the ship is 472 m from the lighthouse

Explanation:

from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m

OS = A0 • tan 67°

= 200 m • 236°

= 472 m