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Trig land bearing

I have to do this for extra credit and I really need the points, so PLEASE HELP!

The bearing of town B from town A is N 47degrees E and the distance between the two is 120 miles. The bearing of town C to B is N 75degrees E. The bearing of A from C is S 60degrees W. Determine the distance from A to C.

You can use the law of sines to find the distance |AC|. First you need to find the internal angles of C (the angle between lines CA and CB) and B (angle between BC and BA). Then apply the law of sines:

$<br /> \frac {\sin (B)} {|AC|} = \frac {\sin (C)} {120}<br />$

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