Problem $3$: Determine a maximum safe speed to the nearest $5m\frac{i}{h}r$

A horizontal curve on a two lane highway $(12$ ft lanes$)$ has PC at station $123+80$

and PT at station $129+60.$ The central angle is $35$ degrees, the superelevation is

$0\mathrm{.}08,$ and $20\mathrm{.}6$ ft is cleared $($for sight distance$)$ from the inside edge of the

innermost lane. Determine a maximum safe speed $($assuming current design

standards$)$ to the nearest $5m\frac{i}{h}r.$ Round all answers to the nearest two decimals.