$5-$ Design a right$-$turning plain circular horizontal curve with superelevation with an angle of intersection $65.$ The speed limit is $100K\frac{m}{h}r$ on a sealed road and the maximum allowable superelevation is $6\%.$

a$)$ Find all the required measures to design the curve.

b$)$ If the station of point TS is $1167\mathrm{.}021,$ find the station of the other point.

c$)$ Find the location $(x$ and $y)$ of $6$ points on the curve.

d$)$ Show all the calculations and finally present all your findings in a table.

e$)$ Draw a sketch of the road and show the findings on the sketch.

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