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I think I was too simple in my assumptions, but I used trig to find the half-angle of the mach cone. I used the adjacent side as 10.4, and the opposite side as 13.77, and took the inverse tan. I got an angle of 52.9375.

Then I used this to find the mach number by using this equation:

Mach # = 1/sin([tex]\theta[/tex])

=1/sin(52.9375) = 1.25317