visitor is staying in an inn that is 10 miles west of the closest point on a shoreline to a coral reef. The coral reef is 8 miles due north of the shoreline. The visitor plans to travel from the inn to the coral reef by running and swimming. If the visitor runs at a rate of 5 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the coral reef? Round to two decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A visitor is staying in an inn that is 10 miles west of the closest point on a shoreline to a coral reef. The coral reef is 8 miles due north of the shoreline. The visitor plans to travel from the inn to the coral reef by running and swimming. If the visitor runs at a rate of 5 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the coral reef? Round to two decimal places.

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