Static Pressure with CPG

[roldy]

I'm confused about finding the static pressure on a surface of a hypersonic vehicle.

I know the inclination angle of surface 1 relative to the horizontal and I know all the aerodynamic characteristics of stage 1. With a calorically perfect gas assumption, gamma=1.4. I'm getting a little confused with static pressure and stagnation pressure. What is the appropriate equation to use?

[boneh3ad]

Just use the oblique shock relations. On the body you have pictured you have straight sections, so you don't need anything more complicated. If you know the incoming angle of attack and Mach number, you can generate all the information you need for static pressure using the oblique shock equations.