Substitute the expression for F1 into the equilibrium equation:
∑Fy=-F1-F2-30 kN=0 -(0.573 F2)-F2=30 kN -1.573 F2=30 kN
∴F2=-19.07 kN
Backsubstitute to find F1:
F1=0.573 F2 =0.573(-19.07 kN)
F1=-10.93 kN