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WAEC Mathematics 1991 (August) Question 28

Question 28

Trigonometry

The angle of elevation of the top of a tree 39m away from a point on the ground is 30°. Find the height of the tree.

  1. A.39√3m
  2. B.13√3m
  3. C.13m/√3
  4. D.13m/(3√3)
  5. E.√3m/13
Show the answer and explanation

Answer: B (13√3m)

Explanation

h = 39 tan 30° = 39/√3 = 13√3 m.