An island is 4 kilometers due south of its closest point along a straight shoreline. A visitor is staying in a tent that is 14 kilometers east of that point. The visitor is planning to go from the tent to the island. Suppose the visitor runs at a rate of 4 kmph and swims at a rate of 1 kmph. How far should the visitor run to minimize the time it takes to reach the island? Round to two decimal places.
