A coral reef is 3 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 coral reef. Suppose the visitor runs at a rate of 12 kmph and swims at a rate of 1 kmph.
How far should the visitor run to minimize the time it takes to reach the coral reef? Round to two decimal places.