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Two ships are steaming away from a point O along routes that make a 120Â°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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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 ...

Solution Summary

How fast are the ships moving apart when OA = 5 and OB = 3 nautical miles?

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