In the figure below, a radar station detects an airplane approaching directly from the east. At first observation, the range to the plane is d1 = 412 m at 40° above the horizon. The airplane is tracked for another 123° in the vertical east–west plane, the range at final contact being d2 = 810 m. Find the displacement of the airplane during the period of observation.
magnitude ______ meters
direction ______° (counter-clockwise from east)