Question 33

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waecmaths question: 

The bearing of a point P from another point Q is 310o. If $\left| PQ \right|=200M$ how far east of Q is P?

Option A: 

128.6m

Option B: 

153.2m

Option C: 

167.8m

Option D: 

187.9m

waecmaths solution: 

$\begin{align}  & \angle PQR={{50}^{\circ }} \\ & \tan {{50}^{\circ }}=\frac{\left| PR \right|}{\left| PQ \right|}=\frac{\left| PR \right|}{200} \\ & \left| PR \right|=200\times 1.1917=238.34cm \\\end{align}$

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