Question 1177806
If you draw this as the start is O, and ship 1 is A and ship 2 B, the distance apart is o.  The two legs of the obtuse triangle are 67.2 miles and 112 miles.   Use the Law of Cosines:
o^2=a^2+b^2-2ab cos O
=67.2^2+112^2-2(67.2*112)cos 140
=28590.95 miles^2
o=169.09 miles apart, which is the answer.  If they had gone in opposite directions, they would have been 179.2 miles apart.
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by the law of sines, angle A is 25.2 degrees and angle B is 14.8 degrees