the forces 20N,30N,40N, and 60N are acting on one of angular points of a regular hexagon to ward the other five angular points take in order. find the magnitude and direction of the resultant force

Dear Student,
Please find below the solution to your problem.

Summation of forces in x direction= 20 + 30 cos 30 + 40 Cos 60 - 60 Cos 60 = 35.98
Animation of forces in wind direction is equal to 30 sin 30 + 40 sin 60 + 50 + 60 sin 60= 151.60
Resultant of a force acting is
R=√(fx)*(fx)+(fy)*(fy)
R=155.80
Alpha =taninverse(fy/fx)
Alpha=76.64

Thanks and Regards