A crest vertical curve connects a $+4\%$ grade with a $-2\%$ grade. The BVC is located at station $214+94$ and is at an elevation of $646ft.$ Given a design speed of $50mph,$ determine:

The length of the curve, $L($round to nearest foot$).$

The station of the EVC

The elevation of the PVI $($round to $1$ decimal place$)$

Table $15\mathrm{.}5$ Values of $K$ for Crest Vertical Curves Based on Stopping Sight Distance

$\backslash$table$[[,,$Rate of Vertical Curvature, $K^a,],[$Design Speed $($mi$/$h$),\backslash$table$[[$Stopping Sight$],[$Distance $(ft)$