From the top of a 50 m high cliff, the angle of depression to a ship is 30°. How far is the ship from the cliff?
Q1. From the top of a 50 m high cliff, the angle of depression to a ship is 30°. How far is the ship from the cliff?
Answer: 50√3 m
Explanation: The tangent of 30° equals the ratio of the cliff's height to the distance from the cliff to the ship. Since tan(30°) = 1/√3, rearranging gives the distance as 50√3 m, using the formula tan(angle) = opposite/adjacent.