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JAMB Mathematics 1994 Question 37

Question 37

Trigonometry

The angle of depression of a boat from the top of a cliff 10m high is 30°. How far is the boat from the foot of the cliff?

  1. A.5√3/3 m
  2. B.5√3m
  3. C.10√3
  4. D.10√3/3 m
Show the answer and explanation

Answer: C (10√3)

Explanation

The angle of elevation of the cliff top from the boat is also 30°. So tan 30° = 10/d and d = 10/tan 30° = 10√3 m.