From the top of a 200 foot lighthouse the angle of depressio

From the top of a 200 foot, lighthouse, the angle of depression to a ship in the ocean y is 23 degree. How far is the ship from the base of the lighthouse? Find the exact value of the following.

Solution

Angle of depresssion same as angle of elevation = 23

Tan 23 = height of light house / base of light house to the ship

tan23= 200/x

x= 200/tan23

x=471.17 foot    answer