engineering mathematics MCQ #31

From the top of a 100 m high cliff, the angles of depression of two ships on the sea are 30° and 60°. If one ship is exactly behind the other on the same side of the cliff, find the distance between the ships.

engineering mathematics MCQ #31

  1. Question 1

    Q1. From the top of a 100 m high cliff, the angles of depression of two ships on the sea are 30° and 60°. If one ship is exactly behind the other on the same side of the cliff, find the distance between the ships.

    • A) 100√3 / 3 m
    • B) 115.47 m
    • C) 200 / √3 m
    • D) 230.94 m

    Answer: 115.47 m

    Explanation: Using cotangents for the angles, we derive the distance = 115.47 m.