Explanation Given information: The altitude of aircraft is 1000 ft and the speed of aircraft is 264 ft/sec . Calculation: Let the distance between the aircraft and the trawler be y ft . Apply the Pythagorean Theorem. x 2 = y 2 + ( 1000 ) 2 Substitute 1500 for x in the above equation. ( 1500 ) 2 = y 2 + ( 1000 ) 2 2250000 = y 2 + 1000000 y 2 = 1250000 y = 1118.03 ft Differentiate the equation x 2 = y 2 + ( 1000 ) 2 with respect to t

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 3.6, Problem 61E

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To find: The rate of change of the distance between aircraft and trawler is changing.

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Chapter 3.6, Problem 60E

Chapter 3.6, Problem 62E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The rate of change of the distance between aircraft and trawler is changing.

Solution Summary: The author calculates the distance between aircraft and trawler by applying the Pythagorean Theorem.

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Chapter 3 Solutions