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WAEC Mathematics 2007 Question 33

Question 33

Bearings

The bearing of a point P from another point Q is 310°. If |PQ| = 200 m, how far west of Q is P?

  1. A.128.6 m
  2. B.153.2 m
  3. C.167.8 m
  4. D.187.9 m
Show the answer and explanation

Answer: B (153.2 m)

Explanation

A bearing of 310° is 50° west of north. Distance west = 200 sin 50° = 200 × 0.766 ≈ 153.2 m.