A tracking radar antenna is locked on an airplane flying at a constant altitude of 5 km, and a constant speed of 540 km/h. The airplane travels along a path that passes exactly above the radar station. The radar starts the tracking when the airplane is 100 km away.
(a) Derive an expression for the angle e of the radar antenna as a function of time.
(b) Derive an expression for the angular velocity of the antenna, dθ/dt, as a function of time.
(c) Make two plots on the same page, one of e versus time and the other of dθ/dt versus time, where the angle is in degrees and the time is in minutes for 0

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