Question

A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?

Answer 1

14degrees

Explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees