From the top of a lighthouse 100 m high, the angle of depression of a boat is 30°. Find the distance of the boat from the base of the lighthouse.
Show answer & explanation
Correct answer: B
Explanation
Height = 100 meters, Angle of depression = 30°
According to the formula:
tanθ = Height / Distance
tan30° = 100 / Distance
1/√3 = 100 / Distance
Distance = 100√3 = 173.2 meters