SOLUTION: The relationship between the cone's vertex angle, theta, and the mach number, m, of an aircraft that is flying faster than the speed of sound is given by the formula - sin (theta)/
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-> SOLUTION: The relationship between the cone's vertex angle, theta, and the mach number, m, of an aircraft that is flying faster than the speed of sound is given by the formula - sin (theta)/
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Question 1009944: The relationship between the cone's vertex angle, theta, and the mach number, m, of an aircraft that is flying faster than the speed of sound is given by the formula - sin (theta)/2 = 1/m. If m=5/4, determine the angle theta.
Is this a half angle formula question? The answer is 106 degrees Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! If sin(theta)/2 = 1/m, we can plug in for m and get
sin(theta)/2 = 1/(5/4) = 4/5 = .8
Now take the inverse sin of both sides and get
(theta)/2 = sin^(-1) .8 = 53.1 and
theta = 106.2 degrees
Not really a half-angle formula question, that is, it does not involve that identity...
