Question

From the top of a 180-foot tall lighthouse, the angle of

depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me

Answer 1

Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean

(Figure is attached )

• We know , Angle Of depression = Angle Of elevation

For finding base length from the ship to base of lighthouse ,

Tanθ = perpendicular/base

Tan 27° = 180ft/base

Base = 180/0.5095 (Value of tan 27° is 0.5095)

Base = 353.28 ft.

Base = 4239.36 inches