PROBLEM $1(30$ points$)$:

LOCATION: A proposed two$-$lane highway on hilly topography has a vertical alignment consisting of a $-2\mathrm{.}5\%$ grade intersecting a $+5\mathrm{.}5\%$ grade at station $88+75$ at an elevation of $1,375\mathrm{.}25$ feet. The lowest point of the curve is located at station $86+07$ at an elevation of $1,382\mathrm{.}68$ feet.

REQUESTED:

A$)$ The length of the vertical curve.

B$)$ A Drawing with all the points of the road