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WAEC Mathematics 1991 (August) Question 27

Question 27

Trigonometry

From the top of a cliff, the angle of depression of a boat on the sea is 60°, if the top of the cliff is 25m above the sea level, calculate the horizontal distance from the bottom of the cliff to the boat.

  1. A.50√3m
  2. B.25√3m
  3. C.25√3m/3
  4. D.25m/3
  5. E.√3m/25
Show the answer and explanation

Answer: C (25√3m/3)

Explanation

tan 60° = 25/d, so d = 25/√3 = 25√3/3 m.