(Solved): The Pitot tube on a supersonic aircraft (see the Video) cruising at an altitude of 40000ft senses ...

The Pitot tube on a supersonic aircraft (see the Video) cruising at an altitude of $$40000\mathrm{ft}$$ senses a stagnation pressure of 7.48 psia. If the atmosphere is considered standard, determine (a) the Mach number of the aircraft, (b) the airspeed. A shock wave is present just upstream of the probe impact hole. (a) $$\mathrm{Ma}=$$ (b) $$V=$$ $$\mathrm{ft}/\mathrm{s}$$