A mountaineer uses a global positioning system receiver to measure his displacement from base camp to the top of Mount McKinley. The coordinates of base camp are x = 0, y = 0, and z = 4300 m (here z denotes altitude), and those of the top of Mount McKinley are x = 1600 m, y = 4200 m, and z = 6200 m. What is the magnitude of the displacement in going from base camp to the top?