How Is the Force of Friction Calculated for a Block Against a Wall?

[thaixicedxtea]

Homework Statement

As shown in the figure, a block is pushed up against the wall. Let the mass of the block be m=2.3 kg, the coefficient of kinetic friction between the block and the wall be µ= 0.53, and θ= 62. Suppose F = 68 N.
The acceleration of gravity is 9.8 m/s^2.
Find the force of friction. Answer in units of N.
http://img359.imageshack.us/my.php?image=71957582pz7.jpg
http://img359.imageshack.us/my.php?image=71957582pz7.jpg

Homework Equations

Fk= µ ( F sin θ - mg)
F=ma

The Attempt at a Solution

Well first I used F= µ(F sin θ), but I figured it was too simple, so I drew a free body diagram and saw mg going down on the block. I'm not sure how to go from there. Does the vertical component of force equal mg?

 

[Hootenanny]

Yes, the sum of the vertical components must be equal to the weight of the block.