How Do I Find the Missing Values for Unknown Weights in a Pulley System?

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The discussion focuses on finding missing values for unknown weights in a pulley system, with the original poster expressing confusion about their approach. They initially used unit vectors but later realized it was a simpler force vector problem. The poster shared their solution and noted that their professor's method differed by not using angles, instead relying on basic trigonometric properties. They seek clarification on the precision required for their calculations. Overall, the conversation highlights the learning process and the importance of understanding fundamental concepts in physics.
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Homework Statement


Am I heading in the right direction?
If so i am lost now in finding the missing values for the unknown weights, a little nudge would be great. The work that i have attached is CLEANED up so it can be readable.


Homework Equations





The Attempt at a Solution


 

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I finally was able to complete this problem.
First i was going in the wrong direction using unit vectors. I found out that it was a simple force vector problem. Bottom line i was over thing and making it out to be more complicated then it really was, but it was comforting to find out that i was not the only one :-) But anyway I am going to attached my solution. The professor did not use angles in his solution as i did he just used the properties of find the angle sine=opp/hyp and cos=adj/hyp. I used tan to find the angles as you can see. The one that that confuses me is how precise is precise?
Thank youI am new on here and i see that this would be a good place for practice.
 

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