Edexcel C12 2014 June — Question 1

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2014
SessionJune
TopicSine and Cosine Rules

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{b85872d4-00b2-499b-9765-f7559d3de66a-02_856_700_214_630} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the position of three stationary fishing boats \(A , B\) and \(C\), which are assumed to be in the same horizontal plane. Boat \(A\) is 10 km due north of boat \(B\). Boat \(C\) is 8 km on a bearing of \(065 ^ { \circ }\) from boat \(B\).
  1. Find the distance of boat \(C\) from boat \(A\), giving your answer to the nearest 10 metres.
  2. Find the bearing of boat \(C\) from boat \(A\), giving your answer to one decimal place.