$20$ Points

$4.$ A $500\text{'}$ vertical curve is to be used to join a $+2\mathrm{.}75\%$ grade line and a $-3\mathrm{.}25\%$ grade line. The vertical point of intersection $($VPI$)$ of the grade lines is at station $31+80$ and the elevation is $630\mathrm{.}40ft.$:

a$)$ Sketch the tangents and curve

b$)$ Calculate the station and elevation of the BVC and EVC.

c$)$ Calculate the elevations for the full stations on the curve.

d$)$ Station and elevation on the high point or $($turning point$)$ on the curve.

Station

Elevation $.$

$\backslash$table$[[$Station$,$Elevation$],[$BVC$,],[,],[,],[,],[,],[,],[,]]$