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WAEC Mathematics 2018 Question 23

Question 23

Trigonometry

The angle of elevation of the top of a tree from a point 27 m away and on the same horizontal ground as the foot of the tree is 30°. Find the height of the tree.

  1. A.27 m
  2. B.13.5√3 m
  3. C.13.5√2 m
  4. D.9√3 m
Show the answer and explanation

Answer: D (9√3 m)

Explanation

Height = 27 tan 30° = 27/√3 = 9√3 m.