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WAEC Mathematics 2005 Question 43

Question 43

Trigonometry

The angle of elevation of the top of a cliff 15 meters high from a landmark is 60°. How far is the landmark from the foot of the cliff? Leave your answer in surd form.

  1. A.15√3 m
  2. B.15√2 m
  3. C.10√3m
  4. D.5√3m
Show the answer and explanation

Answer: D (5√3m)

Explanation

Distance = 15/tan 60° = 15/√3 = 5√3 m.