two forces of 509 N and 232 N at a point .the resultant force is 585 N find the angle between the forces. help me plz

Question

two forces of 509 N and 232 N at a point .the resultant force is 585 N find the angle between the forces.  help me plz

ybarrap · Answer

is this what's being asked?
|dw:1386439437552:dw|
The wording is a bit ambiguous

anonymous · Answer

ye

anonymous · Answer

can u help me plz

ybarrap · Answer

You can try this. Create a coordinate system where the resultant force is on the "y-axis" and the force perpendicular to the resultant force is the "x-axis":
|dw:1386440146198:dw|
The the sum along the y-axis will be R and the sum along the x-axis will be zero:

$$
F_1\cos	heta_1+F_2\cos	heta_2=R\
F_1\sin	heta_1-F_2\sin	heta_2=0
$$

Two equations, two unknowns. Solvable.

Make sense?