the given sketch (for some reason, either an error or an intentional deception) is incorrectly depicted.
is a 16 N force in the positive x-direction.
has an x-component = 33cos(60) = 16.5 N in the negative x-direction.
for there to be equilibrium, F_3 should be in quad IV with an x-component to the right of 0.5 N.
if the problem is legit, then (as depicted) should be greater than 90 degrees.