The boom $AC$ is supported at $A$ by a ball$-$and$-$socket joint and by two cables $BDC$ and $CE.$ Cable $BDC$ is continuous and passes over a pulley at $D.$ Calculate the tension in the cables and the $x,y,z$ components of reaction at $A$ if a crate has a weight of $80$ lb $.$ Please only answer if you're certain you can do it correctly! Be thorough and explain all steps! Don't forget to draw the FBD$.$ I will upvote if it is answered correctly with thorough explanations and all steps are shown. Thank you!