Problem $\backslash$#$1(13\mathrm{.}7$W$)[5$ pts$]$

A horizontal curve is to connect PC $($on Freeway B$)$ and PT $($on Freeway A$),$ to serve traffic turning from Freeway B northbound to Freeway A$.$ If the design speed is $\backslash (45\backslash$mathrm$\{$mph$\}(66\backslash$mathrm$\{$ft$\}/\backslash$mathrm$\{$s$\})\backslash ),$ superelevation is $\backslash (2\mathrm{.}5\backslash \%\backslash )$ and the coefficient of friction between tire and pavement is $0\mathrm{.}10,$ what should be the minimum radius of the horizontal curve in ft $?$