Avoiding in a circle

An ambulance car is going with a speed of 60 km/h 60~\mbox{km/h}, while a car is trying to go around it in a circle with a speed 50 km/h50~\mbox{km/h}. If the sound that ambulance car emits has a frequency of 1 kHz1~\mbox{kHz}, which frequency does the driver of the car hear in Hz when the ambulance car is in the center of the circle it makes, and the car makes an angle θ=30\theta = 30^\circ with the direction of the car?

Details and assumptions

  • Speed of sound in the air is c=1235 km/hc = 1235~\mbox{km/h}.
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