Knowing that the tension in cable $\backslash ($ A D $\backslash )$ is $180$ lb $,$ determine

$($a$)$ the angle between cable $\backslash ($ A D $\backslash )$ and the boom $\backslash ($ A B $\backslash ),$

$($b$)$ the projection on $\backslash ($ A B $\backslash )$ of the force exerted by cable $\backslash ($ A D $\backslash )$ at point $\backslash ($ A $\backslash ).$

$($c$)$ the moment of the tension in cable $\backslash ($ A D $\backslash )$ about $\backslash ($ B $\backslash ).$

$($d$)$ the moment of the tension in cable $\backslash ($ A D $\backslash )$ about $\backslash ($ B A $\backslash ).$

$($e$)$ the moment of the tension in cable $\backslash ($ A D $\backslash )$ about x axis.

$($f$)$ the moment of the tension in cable $\backslash ($ A D $\backslash )$ about y axis.

$($g$)$ the moment of the tension in cable $\backslash ($ A D $\backslash )$ about $\backslash ($ z $\backslash )$ axis.