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?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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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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