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Question

I got 47.2 degrees as my answer. (47 rounded). Is that correct?

An aircraft flying faster than the speed of sound produces sound waves that pile up behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the ground in the form of a hyperbola and along this curve, there is a sonic boom. It was shown that: speed of sound sin 2 speed of aircraft where 0 is the cone angle. speed of aircraft The ratio: M = speed of sound is the Mach number. Earth So sin- 2 M Нурerbola A Mach number of 2.3 indicates an aircraft moving at 2.3 times the speed of sound. Find the cone angle 0 if M =
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Transcribed Image Text:An aircraft flying faster than the speed of sound produces sound waves that pile up behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the ground in the form of a hyperbola and along this curve, there is a sonic boom. It was shown that: speed of sound sin 2 speed of aircraft where 0 is the cone angle. speed of aircraft The ratio: M = speed of sound is the Mach number. Earth So sin- 2 M Нурerbola A Mach number of 2.3 indicates an aircraft moving at 2.3 times the speed of sound. Find the cone angle 0 if M =
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