A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an island. The island is 7 miles due south of the shoreline. The visitor plans to travel from the cottage to the island by running and swimming. If the visitor runs at a rate of 5 mph and swims at a rate of 3 mph, how far should the visitor run to minimize the time it takes to reach the island?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an island. The island is 7 miles due south of the shoreline. The visitor plans to travel from the cottage to the island by running and swimming. If the visitor runs at a rate of 5 mph and swims at a rate of 3 mph, how far should the visitor run to minimize the time it takes to reach the island?

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