Supersonic Intake

A supersonic intake is designed using a double ramp as shown below:

In the above configuration, assume a critical mode of operation where shocks are focused at the cowl leading edge. If the inflow Mach number is $3$ and the Mach number downstream of the second oblique shock is $2,$ determine

$($i$)$ the second ramp angle $($w$.$r$.$t horizontal$)$ if the first ramp is $15$ w$.$r$.$t horizontal axis.

$($ii$)$ the stagnation pressure loss across the system of shocks

$($iii$)$ stagnation pressure loss if the shock system is replaced with a single normal shock Use the charts provided below: