A horizontal curve is to be designed for a two$-$lane road in rolling terrain. The following data are known:

Intersection angle: $35$ degrees, tangent length $=140m,$ station of PI: $2200+16,fs=0\mathrm{.}14,e=0\mathrm{.}08$

All above$-$mentioned are represented in metric units $($SI$).$ Determine $(20$points$)$:

$($a$)$ the radius of the curve

$($b$)$ design speed

$($c$)$ station of the PC

$($d$)$ station of the PT

$($e$)$ deflection angle and chord length to the first $30m$ station