Given the unity$-$feedback system of Figure P$7\mathrm{.}1,$ where

$G(s)=\frac{K(s+a)}{s(s+2)(s+15)}$

find the value of $Ka$ so that a ramp input of slope $30$ will yield an error of $0\mathrm{.}005$ in the steady state when compared to the output. $[$Section: $7\mathrm{.}4]$