$47.$ A grid distance in a state plane coordinate system is $5280\mathrm{.}00$ ft and the scale factor is $0\mathrm{.}9999424.$ What is the surface distance, assuming no sea level correction is necessary?

$($A$)5278\mathrm{.}64$ ft

$($B$)5279\mathrm{.}70$ ft $($C$)5280\mathrm{.}00$ ft $($D$)5280\mathrm{.}30$ ft