Resolve the forces horizontally:

\(50 \cos 20^\circ + 60 - 100 \sin 30^\circ = 56.984 \ldots\)

Resolve the forces vertically:

\(100 \cos 30^\circ - 50 \sin 20^\circ = 69.501 \ldots\)

Calculate the magnitude of the resultant force \(R\):

\(R = \sqrt{(56.984 \ldots)^2 + (69.501 \ldots)^2}\)

\(R = 89.9 \text{ N}\)

Calculate the angle \(\alpha\):

\(\alpha = \arctan \left( \frac{56.984 \ldots}{69.501 \ldots} \right)\)

\(\alpha = 39.3^\circ\)