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Coral reef 8 mi. Inn Shoreline 10 mi. 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. Provide your answer below: miles

Coral reef 8 mi. Inn Shoreline 10 mi. 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. Provide your answer below: miles

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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Question Coral reef 8 mi. Inn Shoreline 10 mi. 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. Provide your answer below: miles
Transcribed Image Text:Question Coral reef 8 mi. Inn Shoreline 10 mi. 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. Provide your answer below: miles
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