an island is 1 mi due north of its closest point along a straight shoreline. a visitor is staying at a cabin on the shore that is 15 mi west of that point. the visitor is planning to go from the cabin to the island. suppose the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. how far should the visitor run before swimming to minimize the time it takes to reach the island? round your answer to three decimal places and omit units from the answer box.

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