I have the question "Resolve the forces acting on the following objects into their vertical and horizontal components and thus find the vertical and horizontal components of their resultant force.
I have drawn a triangle from this.
And have worked out the net vertical and horizontal force.
I know I have to use trigonometry to solve this, however I am use to solving with only one side and one angle given.
In this case it will be two sides and one angle given.
8.0 N for the horizontal side of the triangle and 10.0N for the diagonal side of the triangle (the hypotenuse).
Is what I have done correct ? The final answer when I checked the solutions for the resultant force should be Zero resultant force.
However, I am unsure on how this is achieved.
Hint:
Decompose the diagonal side of the triangle into two components.
The horizontal component would be $10\cos (36.87^\circ) N \approx 8N$ to the left.
The vertical component would be $10\sin (36.87^\circ) N \approx 6N$ towards upward direction.