Inn 10 mi. 8 mi. Shoreline A visitor is staying in an inn that is 10 miles west of the closest point on a shoreline to a coral reef. The coral reef is 8 miles due north of the shoreline. The visitor plans to travel from the inn to the coral reef by running and swimming. If the visitor runs at a rate of 5 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the coral reef? Round to two decimal places. Provide your answer below: