Question 26

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waecmaths question: 

The position of three  ships P, Q and R at sea are illustrated in the diagram . The arrow indicated the North direction. The bearing of Q from P is 050o and $\angle PQR={{72}^{\circ }}$ .Calculate the bearing of R from Q

Option A: 

130o

Option B: 

158o

Option C: 

222o

Option D: 

252o

waecmaths solution: 

\[\begin{align}  & \angle PQA=\angle NPQ={{50}^{\circ }}\text{    }\!\!\{\!\!\text{ Alternate }\angle \text{s }\!\!\}\!\!\text{ } \\ & \angle AQR={{72}^{\circ }}-{{50}^{\circ }}={{22}^{\circ }} \\ & \text{The bearing of }R\text{ from }Q={{180}^{\circ }}-{{22}^{\circ }}={{158}^{\circ }} \\\end{align}\]

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