The boom $\backslash ($ A C $\backslash )$ is supported at $\backslash ($ A $\backslash )$ 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 $\backslash ($ x $\backslash )$ component of reaction at $\backslash ($ A $\backslash )($in lb $)$ if a crate has a weight of $89\mathrm{.}67$ lb$.$