$11\mathrm{.}21$ In Figure $11\mathrm{.}9,$ the following $EN$ and $xY$ coordinates for points A through $C$ are given. In a $2$D conformal coordinate transformation, to convert the $xY$ coordinates into the $EN$ system, what are the

$*($a$)$ Scale factor?

$($b$)$ Rotation angle?

$($c$)$ Translations in $x$ and $Y?$

$($d$)$ Coordinates of points $C$ in the $EN$ coordinate system?

$\backslash$table$[[,$State Plane Coordinates $($m$),$Arbitrary Coordinates $($ft$)],[$Point$,E,N,x,Y$