$3\mathrm{.}2$ A right$-$hand circular curve is used as part of the horizontal alighment of a $2-$lane, two$-$way rural road. The following curve data are given:

Curve radii$($R$)=415m,$ central angle $()=35,$ design speed $=80k\frac{m}{h},$ super$-$elevation $($e$)=4\%$ lane width $=3\mathrm{.}5m,$ shoulder width $=0\mathrm{.}8m,$ camber $=2\mathrm{.}0\%,$ end of curve $($EC$)$ point at chainage $3+500,$ minimum required stopping sight distance $($SSD$)$ is $115m,$ and superelevation runoff length $=50m.$ Assume that one$-$third of the runoff transition is in the curve.

$3\mathrm{.}2\mathrm{.}1$ Calculate the curve length $($L$),$ Tangent length $(T),$ Chainage at point of intersection $($P$1),$ Chaingge at beginning of the curve $($BC$)$ and deflection angle at EC chainage. $(5)$

$3\mathrm{.}2\mathrm{.}2$ Provide a neat, labelled sketch to show the superelevation diagram into the curve $($Provide all necessary calculations$)$

$3\mathrm{.}2.3$ Verify if it safe in terms of sight distance to construct a single story building $2m$ from the shoulder's edge $(7)$

$[35$ manks$]$