The shock-wave cone created by the space shuttle at one instant during its reentry into the atmosphere makes an angle of 58.0° with its direction of motion. The speed of sound at this altitude is 331 m/s.
(a) What is the Mach number of the shuttle at this instant, and
(b) How fast (in m/s and mi/h) is it traveling relative to the atmosphere?
(c) What would be its Mach number and the angle of its shock-wave cone if it flew at the same speed but at low altitude where the speed of sound is 344 m/s?