[Physics Honors] Finding magnitude

[choco1drop]

Homework Statement

A 60 N block sits on a ramp slanted at 30 degree. A horizontal force is applied to the block to prevent it from moving. What is the magnitude of the force?

Homework Equations

The Attempt at a Solution

I found the normal force to be 51.96 N (checked it with the answer) and the net force to be 0 (checked with answer as well). But the last part, finding the magnitude of the horizontal force, doesn't seem to make sense to me.

The answer says it's 35 N, but what I got was 25.98 N. picture I tried to draw to show what i did --- > http://puu.sh/bZVT5/0d077890a0.png

I used relative triangles and geometry to determine the angles. Any help would be appreciated on where I went wrong. Thank you.

 

[choco1drop]

I don't know how to delete threads, but I figured out how to find the solution to this problem.

 

[voko]

You have found the component of the force of gravity along the ramp. The component of the horizontal force along the ramp must cancel this exactly.