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JAMB Mathematics 2002 Question 37

Question 37

Trigonometry

A hunter 1.6m tall, views a bird on top of a tree at an angle 45°. If the distance between the hunter and the tree is 10.4m, find the height of the tree.

  1. A.9.0m
  2. B.12.0m
  3. C.8.8m
  4. D.10.4m
Show the answer and explanation

Answer: B (12.0m)

Explanation

Above eye level the height is 10.4 × tan 45° = 10.4 m. Adding the hunter's eye height of 1.6 m gives 12.0 m.