A and $B$ are two fixed points. The distance between them was measured with a calibrated tape. The calibration data for the tape supported its full length was:

Length:

$100\mathrm{.}012$ ft $.$

Temperature:

$68F$

Pull $($tension$)$:

$12$ lbs

Cross Sectional Area:

$0\mathrm{.}006i{n}^2$

Weight of Tape:

$0\mathrm{.}015lb\frac{s}{f}t$

Coefficient of thermal expansion $()$ :

$\frac{0\mathrm{.}00000645}{}F$

Modulus of elasticity$($E$)$: $2\mathrm{.}9{10}^{7}lb\frac{s}{i}{n}^2$

The distance AB was measured with the tape supported at the ends only, the temperature was $90F,$ and pull $8$ lbs $.$ Under these conditions the measured distance was $486\mathrm{.}73$ feet $($the distances of $100,100,100,100,$ and $86\mathrm{.}73$ feet were measured on the ground$).$ Compute the corrected length of line AB$.$ Don't worry about the order of the corrections. The impact of one correction on another is too suall to be a concern. Note that sag correction is necessary in addition to length, temperature and tension because the tape was not used like it was calibrated.