First force F1 =200 N
Second force,F2 =100 N
θ1 =60°
θ2 =170°
Take Summation of Forces Horizontal and vertical
ΣFx = 200cos60° - 100cos(180-170°)
=200cos60° - 100cos(10°)
= 1.519 N
ΣFy = 200sin60° + 100sin(180-170°)
= 200sin60° + 100sin10°
= 190.57
Resultant/Magnitude
R =√[ (ΣFx)² + (ΣFy)²]
=√[1.519²+(190.57)²]
R = 190.576 N
Direction of resultant force
θ =arctan [ΣFy / ΣFx]
θ =89.54°
