6 At noon, two ships, \(A\) and \(B\), are a distance of 12 km apart, with \(B\) on a bearing of \(065 ^ { \circ }\) from \(A\). The ship \(B\) travels due north at a constant speed of \(10 \mathrm {~km} \mathrm {~h} ^ { - 1 }\). The ship \(A\) travels at a constant speed of \(18 \mathrm {~km} \mathrm {~h} ^ { - 1 }\).
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- Find the direction in which \(A\) should travel in order to intercept \(B\). Give your answer as a bearing.
- In fact, the ship \(A\) actually travels on a bearing of \(065 ^ { \circ }\).
- Find the distance between the ships when they are closest together.
- Find the time when the ships are closest together.