$9.$ The data presented in the Table below was obtained when measuring the length of a line by tape suspended in catenary under a pull of $134$ N$,$ the mean temperature being $16\backslash$deg C$.$ Bay Length $($m$)$ Difference in level $($m$)129\mathrm{.}898+0\mathrm{.}382229\mathrm{.}950-0\mathrm{.}234329\mathrm{.}883+0\mathrm{.}271429\mathrm{.}901-0\mathrm{.}075$ If the tape was standardised on the flat under a pull of $89$ N at $20\backslash$deg C$,$ how long is the line? Note: Cross$-$sectional area of tape $=3\mathrm{.}24$ mm$2.$ Mass of Tape $=0\mathrm{.}2550$N$/$m$,$ Coefficient of linear expansion $=0\mathrm{.}0000009/\backslash$deg C$,$ Young$$s Modulus $=15\mathrm{.}5$ x $104$ MN$/$m$,$ Mean height of line above sea level $=53780$ mm$,$ Radius of the earth $=6367000000$ mm$.$