Starting from the hotel entrance, you follow these directions to get to your hotel room: You walk east 39.1 feet to the reception desk, then take a right. You walk south 62.4 feet to the elevator. You ride the elevator up several floors, a total height of 166.4 feet. You walk north 87.1 feet, then take a right. . You walk east 81.4 feet to arrive at your room. What is the magnitude of the displacement between the hotel entrance and your room, in feet?