Avisitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an island. the island is 4 miles due north of the shoreline. the visitor plans to travel from the cottage to the island by running and swimming. if the visitor runs at a rate of 6 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the island? round to two decimal places.