Chapter 2 - Force Vectors - Section 2.4 - Addition of a System of Coplanar Forces - Problems - Page 41: 40

$F_{R} = 217N$ $\theta = 87 ° $

Projecting on the x axis: $F_{R}x = -150 \times \cos 30 ° + 200 \times \sin 45 ° = 11.518N$ Projecting on the y axis: $F_{R}y = 150 \times \sin 30 ° + 200 \times \cos 45 ° = 216.421N$ The magnitude is obtained: $F_{R} = \sqrt {11.518^{2} + 216.421^{2}}= 217N$ The direction of the force: $\theta = \tan^{-1} (\frac{F_{R}y}{F_{R}x}) = 87 ° $