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JAMB Mathematics 1999 Question 29

Question 29

Bearings

From a point P, the bearings of two points Q and R are N67°W and N23°E respectively. If the bearing of R from Q is N68°E and PQ = 150m, calculate PR.

  1. A.120m
  2. B.140m
  3. C.150m
  4. D.160m
Show the answer and explanation

Answer: C (150m)

Explanation

∠QPR = 67° + 23° = 90°. At Q the direction to P is S67°E and to R is N68°E, so ∠PQR = 180° − 67° − 68° = 45°. The right-angled triangle is isosceles, so PR = PQ = 150 m.