4. At noon two ships \(A\) and \(B\) are 20 km apart with \(A\) on a bearing of \(230 ^ { \circ }\) from \(B\). Ship \(B\) is moving at \(6 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) on a bearing of \(015 ^ { \circ }\). The maximum speed of \(A\) is \(12 \mathrm {~km} \mathrm {~h} ^ { - 1 }\). Ship \(A\) sets a course to intercept \(B\) as soon as possible.
- Find the course set by \(A\), giving your answer as a bearing to the nearest degree.
- Find the time at which \(A\) intercepts \(B\).