Problem 4 (25 pts). Consider a simple model scramjet engine shown below consisting of an inlet followed by a combustor. At cruise, the inlet is designed to provide a wave free (no shock, no expansion fan) flow into the combustor. The forebody of the inlet can be treated as a wedge with a turning angle of α=10^∘. This inlet is designed such that it compresses the incoming flow using exactly two finite strength oblique shock waves (i.e., Mach waves are not considered as oblique shock waves). Note