Problem $2$: Horizontal and Vertical Alignment

A section of two lane rural highway contains a horizontal and vertical curve with the following centerline characteristics:

$PC=43+27\mathrm{.}30$

Deflection angle $\frac{?}{{?}_{\frac{?}{?}}}=42{30}^{\text{'}}R("$R$"$ means horizontal curve to the right$)$

Degree of horizontal curve $D=3{15}^{\text{'}}$

PVI$=51+30\mathrm{.}00$

PVI Ielexation $=3,300ft$

$G_1=-5\mathrm{.}0\%$

$G_2=-1\mathrm{.}5\%$

$K=274$

a$)$ Find the following elements of the horizontal curve: $R,T,L,{}_1,$ and PI & PT stations

b$)$ Find the following elements of the vertical curve: A$,$ L$,$ PVC & PVT stations, PVC & PVT elevations

c$)$ Determine the equation of the vertical curve

d$)$ Find the elevation of the PC and PT points, as well as the elevations of each full station along the horizontal curve centerline.

He wants the problem worked out step by step and with drawings$/$diagrams$.$