engineering mathematics MCQ #258

The angle of depression from a lighthouse to a boat is 30°. If the lighthouse is 40 m high, how far is the boat from the lighthouse's base?

engineering mathematics MCQ #258

  1. Question 1

    Q1. The angle of depression from a lighthouse to a boat is 30°. If the lighthouse is 40 m high, how far is the boat from the lighthouse's base?

    • A) 40√3 m
    • B) 40 / √3 m
    • C) 40 m
    • D) 20√3 m

    Answer: 40√3 m

    Explanation: Using tan(30°) = 40 / distance, we get distance = 40 / tan(30°) = 40√3 m.