Question $1(25\mathrm{.}0$ Point$)$

A horizontal curve is designed with $100k\frac{m}{h}r,$ coefficient of friction of $0\mathrm{.}2,$ and no superelevation. If the curve is known to have an angle of intersection of $15$ and $PC$ is at station $400+20,$ design the curve by finding the following:

a$)$ Minimum radius of the curve to the nearest $10m.$

$(5$ Points$)$

b$)$ Length of tangent

$(4$ Points$)$

c$)$ Length of the curve

$(4$ Points$)$

d$)$ Cord Length

$(4$ Points$)$

e$)$ PI Station

$(4$ Points$)$

f$)$ PT Station.

$(4$ Points$)$