Please solve in python code! Thanks! A plane flying horizontally with a speed of 300 km/hr passes over a ground radar station at an altitude of 10 km. At time t = 0, the plane is 100 km away (and...

Please solve in python code! Thanks! A plane flying horizontally with a speed of 300 km/hr passes over a ground radar station at an altitude of 10 km. At time t = 0, the plane is 100 km away (and moving toward the radar station-see figure below). Let θ be the angle of elevation from the radar station to the plane. (a) If t is time in minutes, find an expression for θ1(t) (valid on the domain t ∈ [0, 20]) and θ2(t) (valid on the domain t ∈ (20, ∞)). Print both functions and their derivatives. (b) Convert into degrees and plot θ1 in the domain t ∈ [0, 20] and θ2 in the domain t ∈ [20, 60] (on the same graph) (c) Plot both derivatives in a separate graph using the corresponding domains from part (b) and a range of θ ∈ [0, 10].

Extracted text: Airplane