IB Math HL Trigonometry Test 5 2016 P2 Q4

Relative to a fixed point \(O\), point \(A\) is \(3\text{ km}\) away on a bearing of \(000^\circ\), while \(C\) is \(5\text{ km}\) away on a bearing of \(090^\circ\). Point \(B\) is \(4\text{ km}\) from \(A\) on a bearing of \(090^\circ\). Find the distance and bearing of \(B\) from \(C\).[6]