A visitor is staying in a tent that is 15 kilometers east of the closest point on a shoreline to a coral reef. The coral reef is 5 kilometers due south of the shoreline. The visitor plans to travel from the tent to the coral reef by running and swimming. If the visitor runs at a rate of 9 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the coral reef? Round to two decimal place

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A visitor is staying in a tent that is 15 kilometers east of the closest point on a shoreline to a coral reef. The coral reef is 5 kilometers due south of the shoreline. The visitor plans to travel from the tent to the coral reef by running and swimming. If the visitor runs at a rate of 9 kmph and swims at a rate of 5 kmph, 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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