2023 SJI P2 Q6

Cabby is walking along a straight road in a northern direction. When he reaches a point \(P\) on the road, a tree at point \(T\) is observed at a bearing of \(025^\circ\). He then walks a further \(200\text{ m}\) along the same road from the point \(P\) to the point \(Q\). Point \(T\) is now observed to have a bearing of \(050^\circ\).

1. Find the distance of \(QT\).[2]

Cabby walks further north along the same road to some point \(R\), so that the distance \(RT\) is \(180\text{ m}\).

2. Find the possible values of the bearing of \(T\) from \(R\).[3]