2026 DSS P1 Q22

A fire outbreak is reported in a building located at point \(F\). The fire department responded and parked their fire engine at point \(P\). The fire hydrant is located 100 m away at point \(W\).

Angle \(PWF=90^\circ\). The bearing of \(F\) from \(P\) is \(084^\circ\). The bearing of \(W\) from \(P\) is \(020^\circ\).

1. Find the bearing of \(W\) from \(F\).[2]
2. Find \(WF\).[2]
3. The fire outbreak is located 8 m above point \(F\). A firefighter of height 1.7 m walks along \(PQ\) and stops at a point that is nearest to point \(F\).
   Find the angle of elevation of the fire from the top of the firefighter’s head.[2]