Draw the $3$ sketches that the problem asks.

SITUATION: As a highway design engineer you are given the responsibility of designing the horizontal, vertical alignment and the corresponding superelevation of a two lane secondary rural road in the Municipality of Belmont. It was decided that the superelevation will rotate with respect to the centerline of the highway. The pertinent data required for this design is shown below:

$$ V$=40$mph

$\backslash$Delta $=25\backslash$deg $45\text{'}$ RT

$$ D $=9\backslash$deg

$$ PI at $36+17\mathrm{.}42$

$$ Two$-$lane highway, $24$ ft wide, each lane $12$ ft wide

$$ PVI at $36+00$

$$ Elevation PVI $=450\mathrm{.}00$

$$ g$1=-1\mathrm{.}5\%$

$$ g$2=+2\%$

$$ L $=300$ ft

$$ Tangent Runout at $400$:$1$

$$ Normal crown at $2\%$

REQUIRED

$1.$ A sketch of the vertical curve $($sag or crest$)$ with all the pertinent components $($Station and Elevation of PVC$,$ PVI and PVT$,$ g$1,$ g$2,$ with the appropriate sign $($positive or negative grade$),$ length of vertical curve$).$

$2.$ A sketch of the three $(3)$ profiles with the corresponding elevations at the centerline, inside $($right edge$)$ and outside $($left edge$)$ of the pavement

$$ Hint #$1$: The profiles should start at point A $($the last station at which the normal crown ends$)$ and finish at point A$\text{'}($the station at which the normal crown resumes at the tangent segment$).$

$3.$ A sketch of the cross sections at point A$,$ B$,$ C$,$ D$,$ E and E$\text{'},$ with the corresponding elevations at the centerline, inside $($right edge$)$ and outside $($left edge$)$ of the pavement