Edexcel C12 2018 January — Question 13

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2018
SessionJanuary
TopicSine and Cosine Rules

13. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6f9ace43-747b-419f-a9d1-d30165d77379-42_840_1010_287_571} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} Figure 4 shows the position of two stationary boats, \(A\) and \(B\), and a port \(P\) which are assumed to be in the same horizontal plane. Boat \(A\) is 8.7 km on a bearing of \(314 ^ { \circ }\) from port \(P\).
Boat \(B\) is 3.5 km on a bearing of \(052 ^ { \circ }\) from port \(P\).
  1. Show that angle \(A P B\) is \(98 ^ { \circ }\)
  2. Find the distance of boat \(B\) from boat \(A\), giving your answer to one decimal place.
  3. Find the bearing of boat \(B\) from boat \(A\), giving your answer to the nearest degree.