$20$ Points

$3.$

For a horizontal curve with a BC station of $25+00,$ a radius of $725ft$ and a length of $452\mathrm{.}23ft,$A total station is used to layout the curve. Find, and show in the table provided, the deflection angles $($to the nearest l$")$ back sighting on the PI and the total chord lengths $($to the nearest hundredth of a foot$)$ to be used in setting the full stations $(+00)$ on the curve, with the Total Station at the BC$.$

$\backslash$table$[[$Station$,\backslash$table$[[$Deflection$],[$Angle $($DMS$)]],$Total Chord$],[$BC$,0{00}^{\text{'}}{00}^{\text{'}\text{'}},0\mathrm{.}00],[,,],[,,],[,,],[,,],[$EC$,,]]$