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.

1 answer

You have seriously garbled the question.

It looks like a straightforward law of cosines problem. The distance d is found using

d^2 = 12^2+5^2 - 2*12*5 cos37°