passwella.
Menu

WAEC Mathematics 2007 Question 31

Question 31

Bearings

Q is 32 km away from P on a bearing 042° and R is 25 km from P on a bearing of 132°. Calculate the bearing of R from Q.

  1. A.122°
  2. B.184°
  3. C.190°
  4. D.226°
Show the answer and explanation

Answer: B (184°)

Explanation

∠QPR = 132° − 42° = 90°, and tan ∠PQR = 25/32 gives ∠PQR ≈ 38°. The bearing of P from Q is 222°, so the bearing of R from Q is 222° − 38° = 184°.