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JAMB Mathematics 1998 Question 37

Question 37

Trigonometry

From the top of a vertical mast 150m high, two huts on the same ground level are observed. One due East and the other due West of the mast. Their angles of depression are 60° and 45° respectively. Find the distance between the huts.

  1. A.150(1 + √3)m
  2. B.50(3 + √3)m
  3. C.150√3m
  4. D.50/√3m
Show the answer and explanation

Answer: B (50(3 + √3)m)

Explanation

The huts are 150/tan 60° = 50√3 m and 150/tan 45° = 150 m from the mast, on opposite sides. Total = 150 + 50√3 = 50(3 + √3) m.