$.$ You are given the following horizontal alignment data:

Station Northing Easting Sta$/$Radius

BOP $1000\mathrm{.}0001000\mathrm{.}0001+000$

PI$1897\mathrm{.}299917\mathrm{.}840$ R$=49\mathrm{.}936$

PI$2782\mathrm{.}1511071\mathrm{.}371$ R$=35\mathrm{.}033$

EOP $710\mathrm{.}7801000\mathrm{.}000$

a$.$ Draw a sketch of the alignment

b$.$ Calculate the PC $1$ station.

c$.$ Calculate the PT$2$ coordinates.

d$.$ Calculate the length of the alignmenT

e$.$ Compute the data needed to stake Curve #$1$ at even $20$ metre stations