Question 10 - A-Level Maths

\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d697f451-9d41-4ef6-a3b0-0ebb0108932c-3_496_1029_395_516} \captionsetup{labelformat=empty} \caption{Fig. 10.1}
\end{figure} At a certain time, ship S is 5.2 km from lighthouse L on a bearing of \(048 ^ { \circ }\). At the same time, ship T is 6.3 km from L on a bearing of \(105 ^ { \circ }\), as shown in Fig. 10.1. For these positions, calculate
(A) the distance between ships S and T ,
(B) the bearing of S from T .
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d697f451-9d41-4ef6-a3b0-0ebb0108932c-3_444_1025_1487_520} \captionsetup{labelformat=empty} \caption{Fig. 10.2}
\end{figure} Ship S then travels at \(24 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) anticlockwise along the arc of a circle, keeping 5.2 km from the lighthouse L, as shown in Fig. 10.2. Find, in radians, the angle \(\theta\) that the line LS has turned through in 26 minutes.
Hence find, in degrees, the bearing of ship S from the lighthouse at this time.