A horizontal alignmnet connecting two tangent highway sections is shown below. The design speed is $55$ mph$,$ superelevation is $0\mathrm{.}10$ ft$/$ft$,$ the road has four $12-$ft lanes $($two in each direction$)$ and the PI is at station $1500+00.$

a$.$ Determine the stationing of the PC and the PT$.$

b$.$ Determine the distance that would need to be cleared from the centerline of the roadway of the horizontal curve to provide adequate stopping distance.