Ok heres a picture of the problem.
Having a problem interpreting this question
two forces act at a single point; force one is 20N at an angle of 15 degrees to the horizontal: force two is 30N at an angle of 40 degrees from the horizontal. Determine the magnitude and direction of the resultant of these two forces.
should i take 15 degrees to the horizontal as 165 degrees because it is acting toward the horizontal?, i have to provide a graphical and analytical solution to the problem.
Thanks.
There are 2 ways to approach this problem
1. Using x and y components
Fx = 20cos(15) - 30 cos(40) = -3.66
Fy = -20sin(15) - 30sin(40) = -24.46
F =sqrt(Fx^2 +Fy^2) = 25N
theta= arctan(Fy/Fx) = 81.5 deg meaured from neg x-axis --see attachment
2. Using Laws of Cosines and Sines
See attachment