IB Math HL Trigonometry Test 4 2015 P2 Q6

In quadrilateral \(ABDC\), \(AB=7\), \(AC=5\), \(\angle BAC=60^\circ\), \(\angle BDC=80^\circ\), and \(\angle DBC=30^\circ\).

1. Find \(BD\).[4]
2. Find the area of quadrilateral \(ABDC\).[3]
3. Find the perimeter of quadrilateral \(ABDC\).[4]
4. The bearing from \(B\) to \(D\) is \(070^\circ\). Find the bearing from \(B\) to \(A\).[3]
5. Find the bearing from \(A\) to \(B\).[2]