How do you find the direction and magnitude of the resultant force, that is, how do you find F1 F2?

Two forces, F1, of magnitude 60 newtons (N) and F2 of magnitude 70 newtons, act on an object at angles of 40 degrees and 130 degrees (respectively) with the positive x-axis. Find the direction and magnitude of the resultant force, that is, find F1+F2. Round the direction and magnitude to two decimal places.





How do I do this? This is the only problem on my precalc study guide that I do not get. Please help!|||first you need to find the x and y components





F1x = cos 40 x 60N = 45.96


F1y = sin 40 x 60N = 38.57





F2x = cos 130 x 70N= -44.99


F2y = sin 130 x 70N = 53.62





Now you add the x and y components square each of them and find the square root


that will give you 92.20N that is the magnitude


Now for the direction you get the addition of the x and y components and find the tan^-1 y/x and that will give you the direction in degrees = 89.40 more or less


Hope it helps