Sonic boom

A jet plane is flying at a height of \(5000\sqrt{3}\)m and a constant velocity of \(2v\) as above. When a person at point P on the ground hears the sonic boom, the jet plane is at point B. What is the distance between point A and B? (The velocity of sound in the air is \(v\) irrespective of height. We ignore the size of the jet plane.)

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