math/physics
posted by Cydni on .
Forces with magnitudes of 2000 newtons and 900 newtons act on the machine part at angles of 30 degrees and 45 degrees respectively, with the xaxis. Find the direction and magnitude of the resultant of these forces.

I see two vectors forming an angle of 75°
Draw the usual parallelogram with the resultant as the diagonal of that parallelogram.
R^2 = 900^2 + 2000^2  2(900)(2000)cos 105°
R = 2396
that's your magnitude
Now use the sine law to find the direction angle.