Consider a \(20^{\circ}\) half-angle wedge in a supersonic flow at Mach 3 at standard sea level conditions ( \(p_{1}=2116 \mathrm{lb} / \mathrm{ft}^{2}\) and \(\left.T_{1}=519^{\circ} \mathrm{R}\right)\). Calculate the wave angle, the surface pressure, temperature, and Mach number.