engineering mathematics MCQ #125

A lighthouse is 50m high. The angle of depression of a ship is 30°. How far is the ship from the lighthouse?

engineering mathematics MCQ #125

  1. Question 1

    Q1. A lighthouse is 50m high. The angle of depression of a ship is 30°. How far is the ship from the lighthouse?

    • A) 86.6 m
    • B) 90 m
    • C) 100 m
    • D) 110 m

    Answer: 86.6 m

    Explanation: tan(30°) = 50 / distance. So, distance = 50 / tan(30°) = 50 / (1/√3) = 50√3 = 86.6 m.