Problem $4$: Determine minimum length of Vertical Curve

A tow truck is searching a city street at $40m\frac{i}{h}r$ for illegally parked

vehicles. It travels over an equal$-$tangent vertical curve with an initial

grade of $+4\mathrm{.}0\%$ and final grade of $-2\mathrm{.}0\%.$ If the height of the driver's eye is

$6\mathrm{.}0$ ft and the driver spots a car $450$ ft away with a height of $4\mathrm{.}0$ ft$.,$ what

is the minimum length of the vertical curve for this situation?

$562\mathrm{.}94$ ft

$1304\mathrm{.}15$ ft

$240\mathrm{.}07$

$306\mathrm{.}85$