A hiker is returning to a campsite that is 2 miles east and 5 miles north from their current position. The hiker is currently walking east along a path at a pace of 5 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 2 miles 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?

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