(Solution) - A tracking radar antenna is locked on an airplane flying -(2025 Original AI-Free Solution)

Paper Details

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, d?/dt, as a function of time.
(c) Make two plots on the same page, one of e versus time and the other of d?/dt versus time, where the angle is in degrees and the time is in minutes for 0 < t < 20 min.