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JAMB Mathematics 1988 Question 39

Question 39

Trigonometry

From a point 14√3 metres away from a tree, a man discovers that the angle of elevation of the tree is 30°. If the man measures this angle of elevation from a point 2 metres above the ground, how high is the tree?

  1. A.12m
  2. B.14m
  3. C.14√3m
  4. D.16m
Show the answer and explanation

Answer: D (16m)

Explanation

Above eye level the tree rises 14√3 × tan 30° = 14√3 × 1/√3 = 14m. Adding the 2m eye height gives 16m.