Consider a supersonic missle flying a Match 2.5 at an altitude of 10 km (see Fig. P5.18)....

Consider a supersonic missle flying a Match 2.5 at an altitude of 10 km (see Fig. P5.18). Assume that the angle of the shock wave from the nose is approximately by the Mach angle (this is a very weak shock). How far behind the nose of the vehicle will the shock wave impinge upon the ground? (Ignore the fact that the speed of sound, and hence the Mach angle, changes with altitude.)