A hiker is returning to a campsite that is 5 miles east and 2 miles north from their current position. The hiker is currently walking east along a path at a pace of 3 miles per hour. The hiker plans to leave the path and walk in a straight line diagonally towards the cabin through the woods. The hiker can only walk at a pace of 1 mile per hour through the woods. Where should the hiker leave the path and turn into the woods if they want to get to the campsite as quickly as possible?