You are in a hot-air balloon that, relative to the ground, has a velocity of 4.65 m/s in a direction due east. You see a hawk moving directly away from the balloon in a direction due north. The speed of the hawk relative to you is 2.25 m/s. What are
(a) the magnitude and
(b) direction of the hawk's velocity relative to the ground? Express the directional angle relative to due east.