In the figure, a radar station detects an airplane approaching directly from the east. at first observation, the airplane is at distance d1 = 320 m from the station and at angle θ1 = 31° above the horizon. the airplane is tracked through an angular change δθ = 124° in the vertical east–west plane; its distance is then d2 = 800 m. find the (a) magnitude and (b) direction of the airplane's displacement during this period. give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon.