$1.$ A crest vertical curve connects a $+4\mathrm{.}90\%$ grade and a $-1\mathrm{.}85\%$ grade. The PVI is at station $77+00\mathrm{.}00$ at an elevation of $770\mathrm{.}00$ ft$.$ The design speed is $60$ mi$/$h$.$ Determine: $($a$)$ The length of the vertical curve using the AASHTO method $("$K$"$ factors$)($b$)$ The station of the BVC $($c$)$ The elevation of the BVC $($d$)$ The station of the EVC $($e$)$ The elevation of the EVC $($f$)$ The station of the high point $($g$)$ The elevation of the high point $($h$)$ The elevation of station $75+30\mathrm{.}00$ Also, provide a tabulation showing the elevations at each full station on the curve, including the distance from the BVC for each full station, the elevation on initial tangent, the offset, and the elevation on the vertical curve.