2026 PHS P1 Q23

\(P\), \(Q\) and \(R\) are three points on horizontal ground.

\(PQ=100\text{ m}\) and the bearing of \(P\) from \(Q\) is \(252^\circ\).

\(PR=40\text{ m}\) and angle \(PRQ=59.8^\circ\).

1. Find the bearing of \(Q\) from \(P\).[1]
2. A lifeguard stands on top of an 8-metres high watchtower at \(P\).
   A jogger walks along the straight path from \(R\) to \(Q\).
   1. Calculate the shortest distance from \(P\) to \(RQ\).[2]
   2. Calculate the greatest angle of depression from the lifeguard to the jogger.[2]