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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