Final answer:
To calculate the deflection angle, one needs to apply principles of compressible flow and oblique shock waves, referencing charts or equations with the provided Mach number and pressure conditions.
Step-by-step explanation:
The question involves calculating the deflection angle of a supersonic flow expanding around a sharp corner. This type of problem generally relies on principles of compressible flow and oblique shock waves. To find the deflection angle, one would typically use the oblique shock relations and look up the downstream pressure, given as 0.15 atm, on an oblique shock wave chart or use corresponding equations for a flow with a Mach number (M1) of 1.6 and an initial pressure (p1) of 1 atm. Such calculations are based on gas dynamics and the conservation of momentum and energy across a shock wave.
This is an engineering-focused physics problem that might be found within a course on aerodynamics or gas dynamics, often at the undergraduate or graduate level in college.