Resultant Force?
posted by Tabby on .
a force F1 of 35 newtons pulls at an angle of 15 degrees notrth of due east. A force F2 of 75 newtons pulls at an angle of 55 degrees west of due south. Find the magntiude and direction of the resultant force.
Please help me  I have no idea what to do or even where to start!

probably easier for you to do this on x, y axis system
First find x and y components of first force (15deg above x axis)
F1x = 35 cos 15
F1y = 35 sin 15
now the second force(9055) = 35 below x axis)
F2x = 75 cos 35
F2y = 75 sin 35
now add components
Fx = 35 cos 15 75 cos 35 = 27.6
Fy = 35 sin 15 75 sin 35 = 34.0
F^2 = Fx^2+Fy^2
so F = 43.7 in magnitude
tan theta = Fy/Fx = 43/27.6
in quadrant 3 because both are negative
so theta = 57.3 deg below x axis
or 57.3 deg south of west
or 9057.3 = 32.7 deg west of south 
Ah, thank you so much! You're a lifesaver! Thank you and God bless you for taking the time to help!