How do I solve this statics problem involving moments and finding angles?

[btbam91]

Hey guys I'm having trouble with this simple statics problem.

[PLAIN]http://img443.imageshack.us/img443/7218/37statics.png

[PLAIN]http://img841.imageshack.us/img841/6734/372.png

My set up.

[PLAIN]http://img543.imageshack.us/img543/9349/ya1x.jpg

I'm confused on where I'm supposed to take it from here. The solutions are: 6.12, 33.8 degrees.

Thanks!

 

[rock.freak667]

Your final equation is 850=(11cosα)(22) + (11sinα)(8).

Try expressing (11cosα)(22) + (11sinα)(8) as Rsin(α+θ). So expand out Rsin(α+θ) and equate coefficients. This will allow you to eventually replace '(11cosα)(22) + (11sinα)(8)' with Rsin(α+θ), leaving you with Rsin(α+θ)=850, which you can easily solve.