Four coplanar forces act at a point. The magnitudes of the forces are 20 N, 30 N, 40 N, and \(F\) N. The directions of the forces are as shown in the diagram, where \(\sin \alpha^\circ = 0.28\) and \(\sin \beta^\circ = 0.6\).

Given that the forces are in equilibrium, find \(F\) and \(\theta\).