The wording is quite muddled in the middle of your post.
However, I think we have a cosine law problem here, with sides 12 and 5 and the contained angle as 37 degrees
d = 12^2 + 5^2 - 2(12)(5)cos37
= ....
A small plane takes off from island A and flies in a straight line for 12 kilometers. At the same time, a sailor sitting in a sailboat who is 5 miles from the island measures the angled by from island A to the sailboat and the plane is 37 degrees. How far is the plane from island B? Please draw and label the situation if possible.
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