To reach a tourist attraction, a car must travel westbound on an East/West highway should exit on a straight road heading 38 degrees north of west. If the driver misses the exit, the car must travel 5 miles west to the next exit and take a straight road heading 20 degrees north of east back to the attraction. The tourist attraction is located at the intersection of the two exit roads. Find the distance to the tourist attraction from the highway, along both routes.