Triangles and word problem

Question

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance of about 456.2 miles. A second flight option flies first to city C and then connects to A. The bearing from B to C is N29.8°​E, and the bearing from B to A is

N62.8°E. The bearing from A to B is S62.8°​W, and the bearing from A to C is N78.7°W.

How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct​ flight?

Answer 1

Please send a diagram...........