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Calculus / Thomas' Calculus: Early Transcendentals 13 / Chapter 3.10 / Problem 44E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

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Ships Two ships are steaming straight away from a point O

Chapter 3, Problem 44E

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Problem 44E

Ships Two ships are steaming straight 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 yd). 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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QUESTION:

Problem 44E

Ships Two ships are steaming straight 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 yd). 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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Step 1 of 2:

We have given speed of speed of boat $A$ which is $14\ nm/h$ ,speed of boat $B$ is $21nm/h$ angle between $A$ and $B$ is $120$ degrees,length of $OA$ is $5nm$ ,length of $OB$ is $3nm.$ Using this information we can draw a diagram

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