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WAEC Mathematics 2013 Question 25

Question 25

Trigonometry

An object is 6 m away from the base of a mast. The angle of depression of the object from the top of the mast is 50°. Find, correct to 2 decimal places, the height of the mast.

  1. A.8.60 m
  2. B.7.51 m
  3. C.7.15 m
  4. D.1.19 m
Show the answer and explanation

Answer: C (7.15 m)

Explanation

The angle of elevation of the top from the object is 50°: height = 6 tan 50° = 6 × 1.1918 ≈ 7.15 m.