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WAEC Mathematics 1995 Question 45

Question 45

Bearings

The bearing of two points Q and R from a point P are 030° and 120° respectively. If |PQ| = 12m and |PR| = 5m, find the distance QR.

  1. A.13m
  2. B.11m
  3. C.9m
  4. D.7m
  5. E.5m.
Show the answer and explanation

Answer: A (13m)

Explanation

The angle QPR = 120° − 30° = 90°, so by Pythagoras QR = √(12² + 5²) = √169 = 13 m.