Question Tent 7 km Shoreline 3 km Island A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island? Select the correct answer below: 2.48 kilometers 4.52 kilometers 4.74 kilometers O 9.05 kilometers

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 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island?

Question
7 km
Tent
Shoreline
3 km
Island
A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3
kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the
visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to
reach the island?
Select the correct answer below:
2.48 kilometers
4.52 kilometers
4.74 kilometers
9.05 kilometers
Transcribed Image Text:Question 7 km Tent Shoreline 3 km Island A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island? Select the correct answer below: 2.48 kilometers 4.52 kilometers 4.74 kilometers 9.05 kilometers
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