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\includegraphics[max width=\textwidth, alt={}, center]{ad3083ae-caa6-42d8-a1f2-e984150cb104-3_622_513_244_776} The diagram shows two points \(A\) and \(B\) on a straight coastline, with \(A\) being 2.4 km due north of \(B\). A stationary ship is at point \(C\), on a bearing of \(040 ^ { \circ }\) and at a distance of 2 km from \(B\).

1. Find the distance \(A C\), giving your answer correct to 3 significant figures.
2. Find the bearing of \(C\) from \(A\).
3. Find the shortest distance from the ship to the coastline.