Basic Statics Problem

[HeartEngineer]

Can somebody please walk me through how to solve this? I have tried numerous times but can not seem to find the right answer

 

[voko]

You should start as usual: at point B all the tension forces add up vectorially to zero. What does that mean?

 

[HeartEngineer]

I know that the summation of forces in the x and y directions need to add up to zero, I have tried so many times I am just simply at a loss at this point

 

[lewando]

Please post what you have tried.