A coral reef is 6 miles due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 9 miles east of that point. The visitor is planning to go from the tent to the coral reef. Suppose the visitor runs at a rate of 4 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.

Question

A coral reef is 6 miles due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 9 miles east of that point. The visitor is planning to go from the tent to the coral reef. Suppose the visitor runs at a rate of 4 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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Math
Calculus

Applications of Derivative