Cities at , , and are vertices of a right triangle, with a right angle at vertex . The coordinates are (0,0), (15,0), and (15,8), and ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯
are roads that truckers can use.
Only a train can travel directly from
to , because there isn’t any road. It costs $3.71 per mile to ship a box by truck, and $4.82 a mile to ship the same box by train. Find the cost of the cheaper method to ship a box from to .