2026 MSHS P2 Q5

Points \(P\), \(Q\) and \(R\) are on a horizontal ground.

\(RQ=66\text{ m}\) and the bearing of \(P\) from \(Q\) is \(123^\circ\).

\(PQ=55\text{ m}\) and the angle \(PQR=100^\circ\).

1. Find the bearing of \(Q\) from \(R\).[1]
2. Calculate \(PR\).[3]
3. Find the bearing of \(R\) from \(P\).[3]
4. A drone flies along the line \(PR\) at a vertical height of \(10\) m.
   Find the greatest angle of elevation of the drone from \(Q\).[3]