Answer
Please see the work below.
Work Step by Step
According to law of conservation of energy
$mgh=\frac{1}{2}mv^2$
This simplifies to:
$h=\frac{v^2}{2g}$
$0.18x^2=\frac{v^2}{2g}$
This simplifies to:
$x=\sqrt{\frac{v^2}{(2)(0.18)g}}$
$x=\sqrt{\frac{(0.47)^2}{(2)(0.18)(9.8)}}$
$x=0.25m$
