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A man with a boat is located at point on the shore of a circular lake of radius 6 miles. He wants to reach the point on the shore diametrically...

A man with a boat is located at point on the shore of a circular lake of radius 6 miles. He wants to reach the point on the shore diametrically opposed to as quickly as possible. He plans to paddle his boat at an angle () to to some point on the shore, then walk along the shore to his . If he can paddle 3.5 miles per hour and walk at 3.1 miles per hour, what is the shortest possible time it will take him to reach ?

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