Two lighthouses are located 25 miles from one another on a north-south line. If a person on a buoy is spotted 10 degrees south of east from the northernmost lighthouse and 25 degrees north of east from the southernmost lighthouse, how much closer is the closest lighthouse to the person on the buoy?

Question

perl · Answer

555

anonymous · Answer

I got 10.8 but its not one of the choices. 
The choices are 7.2 and 3.4

mathstudent55 · Answer

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mathstudent55 · Answer

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You must find the lengths x and y, and subtract the smaller one form the larger one.