In the figure, the distance from A to D is $y$, the distance from D to C is $x$, and the distance from C to B is $h$. If $A = 31^\circ$, $\angle BDC = 48^\circ$, and $AB = 56$, find $h$, then $x$. Round each answer to the nearest whole number.
$h = 27, x = 28$
$h = 27, x = 26$
$h = 29, x = 28$
$h = 29, x = 26$
$h = 25, x = 22$