WAEC Mathematics 2012 Question 26

Question 26

Bearings

The positions of three ships P, Q and R at sea are illustrated in the diagram. The arrows indicate the North direction. The bearing of Q from P is 050° and ∠PQR = 72°. Calculate the bearing of R from Q.

A.130°
B.158°
C.222°
D.252°

Show the answer and explanation

Answer: B (158°)

Explanation

The bearing of P from Q is 050° + 180° = 230°. R is 72° anticlockwise from that direction: 230° − 72° = 158°.