SOLUTION: One boat leaves Hawaii travelling 42 mph in the direction of 113 degrees. A second boat leaves the same dock travelling 58 mph in the direction of 63 degrees. If both boats maint
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Question 1136880: One boat leaves Hawaii travelling 42 mph in the direction of 113 degrees. A second boat leaves the same dock travelling 58 mph in the direction of 63 degrees. If both boats maintain their speed for 4 hours, what is the distance, in terms of sine or cosine, between the two boats?
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the angle between the two is 50 degrees
distance from Law of Cosines
c^2=a^2+b^2-2abcos C.
=168^2+232^2-2(168)(232)cos 50. This is one form of the answer.
=31941.42
c=178.72 miles