3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ce4f8375-0d88-4e48-85de-35f7e90b014d-06_478_513_283_776}
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\caption{Figure 1}
\end{figure}
Figure 1 is a sketch showing the position of three phone masts, \(A , B\) and \(C\).
The masts are identical and their bases are assumed to lie in the same horizontal plane.
From mast \(C\)
- mast \(A\) is 8.2 km away on a bearing of \(072 ^ { \circ }\)
- mast \(B\) is 15.6 km away on a bearing of \(039 ^ { \circ }\)
- Find the distance between masts \(A\) and \(B\), giving your answer in km to one decimal place.
An engineer needs to travel from mast \(A\) to mast \(B\).
Give a reason why the answer to part (a) is unlikely to be an accurate value for the distance the engineer travels.