JAMB 2003 · UME · Q29

Elevation, depression & bearings

An aeroplane flies due north from airport $P$ to $Q$ and then due east to $R$ . If $Q$ is equidistant from $P$ and $R$ , find the bearing of $P$ from $R$ .

Worked solution (try it first)

$PQ$ is due north and $QR$ is due east, and $PQ = QR$ , so triangle $PQR$ is right-angled and isosceles.
So $R$ is $45^\circ$ east of north from $P$ : the bearing of $R$ from $P$ is $045^\circ$ .
The back bearing adds $180^\circ$ : the bearing of $P$ from $R$ is $225^\circ$ , option D.

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