The Mach number M of an airplane is the ratio of its speed to the speed of sound When an airplane travels faster than the speed of sound the sound waves form a cone behind the airplane see figure The Mach number is related to the apex angle 8 of the cone by sir a Find the angle that corresponds to a Mach number of 1 0 X b Find the angle that corresponds to a Mach number of 2 5 Round your answer to four decimal places 8 radians c The speed of sound is about 760 miles per hour Determine the speed of an object having the Mach numbers in parts a and b Mach number of 1 760 mph 1900 Mach number of 2 5 mph d Rewrite the equation as a trigonometric function of 0