Queation $(4$ points$)$ Two tangent grades of $\backslash (44\backslash \%\backslash )$ and $\backslash (5\backslash \%\backslash )$ pre connected by a crest vertical curve as shown bolow. If the PVI is locuted at a station of $\backslash (20+50\backslash )$ and at an elevation of $850$ fi and tho design speed is $40$ mply dofermine the following:

a$)$ The length of the vertical curve using$-$ the K factors:

b$)$ Thestation and elevation of the BVC $.$

c$)$ The station and clevation of the EVC.

d$)$ The station and elevation of the highest point on the curve.