IB Math HL Trigonometry Test 3 2014 P2 Q4

A jogger runs at \(1\text{ km}\) every \(3\) minutes. Starting at \(A\), he runs for \(30\) minutes on a bearing of \(70^\circ\) to \(B\), then for \(15\) minutes on a bearing of \(200^\circ\) to \(C\).

1. Find \(AC\).[3]
2. Find the bearing from \(A\) to \(C\).[3]