ship movement
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Two ships are steaming away from a point O along routes that make a 120°angle. Ship A moves at 14 knots (nautical miles per hour; a nautical mile is 2000 yards). Ship B moves at 21 knots. How fast are the ships moving apart when OA = 5 and OB = 3 nautical miles?
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Solution Summary
How fast are the ships moving apart when OA = 5 and OB = 3 nautical miles?
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First, find the distance between ships as a function of time. t hours after departure, ship A is 14t miles from point O, and ship B is 21t miles from point O. The distance between ships can be found from the triangle with sides 14t and 21t and ...
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