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JAMB Mathematics 2012 Question 36

Question 36

Trigonometry

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

  1. A.52cm
  2. B.43cm
  3. C.40cm
  4. D.15cm
Show the answer and explanation

Answer: B (43cm)

Explanation

The angle of elevation from the boat is 74°, so distance = 150/tan 74° ≈ 150/3.487 ≈ 43cm.