Answer
FRx = -162.83 N
FRy = -520.94 N
FR = 546 N
Angle = 253
Work Step by Step
Summation of X components Of All the Forces.
X component Of Resultant Force = F1x + F2x + F3x
(we are using Sin because all angles are wrt to Verticle axis)
FRx = 4/5(850) - 625 sin 30° - 750 sin 45°
FRx = -162.83 N
Summation of Y components Of All the Forces.
Y component Of Resultant Force = F1y + F2y + F3y
(we are using Cos because all angles are wrt to Verticle axis)
FRy = - 3/5(850) - 625 cos 30° + 750 cos 45°
FRy = -520.94 N
FR = {(-162.83)^2 + (-520.94)^2}^1/2
FR = 546 N
Angle = tan-1 (520.94/162.83)
Angle = 72.64°
Total Angle Wrt +X-axis = 180+72.64
= 253
