A steel surveyor’s tape is used to check the length of a football field (a typical field would be $360$ $ft$ long, this one may be slightly different). The tape is designed to be used at $60^{\circ}F$ with an axial tension force of $20$ $lb$ applied to keep it in a straight line. The marks on the tape give the correct reading under these conditions. When used on a day when the temperature is $67^{\circ}F$, and with an axial tension force $P = 30$ $lb$, the reading on the tape is $361$ $ft$. The tape is $0.2$$"$ wide, $0.050$$"$ thick, with $E = 30\cdot 10^6$ $psi$ and $\alpha=6\cdot 10^{-6}/^{\circ}F$. What is the actual length of the football field? (Give your answer in feet, with two decimal places.) $L_{field}=$ $ft$