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WAEC Mathematics 1992 Question 34

Question 34

Bearings

Town P is on bearing 315° from town Q while town R is south of town P and west of town Q. If town R is 60km away from Q, how far is R from P?

  1. A.30km
  2. B.42km
  3. C.45km
  4. D.60km
  5. E.120km
Show the answer and explanation

Answer: D (60km)

Explanation

R, P and Q form a right angle at R, and the bearing 315° (north-west) makes the angle at Q 45°. The triangle is isosceles, so RP = RQ = 60 km.