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Flow with M = 3 comes straight on in the x-direction towards the wedge. We know the wedge angle theta from our geometry of the wedge as 15 degrees.

Step 1: We then look at the Theta-Beta-M chart here we can find what the shock angle is corresponding to our conditions. The line M = 3 with wedge angle theta at 15 degrees corresponds to a shock angle beta of about 32 degrees. 

Step 2: We calculate the value of the free stream Mach Number normal to the shock so we can use normal shock relations to relate quantities upstream and downstream of the shock. 

\Large
\begin{equation}\nonumber
M_{1N} = M_1sin(\beta)
\end{equation}
\\

Step 3: Now  Now we can relate the normal Mach numbers to each other through the normal shock relations

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