Force to the east = 5 units and angle to the east = 0º force to the Northeast = 4 units and angle to northeast = 45º Resolve these forces into x and y components FORCES x - component y - component 5 5cos0 = 5 5sin 0 = 0 4 4cos45 = 4 x \(\frac{\sqrt2}{2}\) 4sin45 = \(\frac{\sqrt2}{2}\) Total force 5 + 2\(\sqrt{2}\) 0 + 2\(\sqrt{2}\) Resultant force = \(\sqrt{(F_x)^2 + (F_y)^2}\) = \(\sqrt{ (5 + 2\sqrt{2})^2 + (2\sqrt{2})^2}\) = \(\sqrt{(25 + 20\sqrt{2} + 8) + 8}\) = \(\sqrt{33 + 20\sqrt{2} + 8}\) = \(\sqrt{41 + 20\sqrt{2}}\)