A $40\text{'}$ offset out is to be staked along the curve. The original radius is $400\mathrm{.}00\text{'}.$ The deflection angle to be turned in the field for station $12+00$ is $6$o$24\text{'}18".$ What is the chord length for PC $($station $11+10\mathrm{.}57)$ to station $12+00?$

$89\mathrm{.}24\text{'}$

$80\mathrm{.}32\text{'}$

not enough information to solve

$98\mathrm{.}17\text{'}$