"A spool of #10 AWG aluminum wire is 500 feet long. If the ambient temperature is 80ºF, what is the end-to-end electrical resistance? Explain all calculations necessary to solve this problem."

For anyone else who has encountered this sort of problem before, would the temperature T and reference temperature Tr be the same thing in the equation for finding the electrical resistance of a conductor at any temperature?(below)

RT = Rr + Rr αT − Rr αTr
Where,
RT = Resistance of conductor at temperature T
Rr = Resistance of conductor at reference temperature Tr
α = Temperature coefficient

Question

"A spool of #10 AWG aluminum wire is 500 feet long. If the ambient temperature is 80ºF, what is the end-to-end electrical resistance? Explain all calculations necessary to solve this problem."

For anyone else who has encountered this sort of problem before, would the temperature T and reference temperature Tr be the same thing in the equation for finding the electrical resistance of a conductor at any temperature?(below)

RT = Rr + Rr αT − Rr αTr
Where, 
RT = Resistance of conductor at temperature T 
Rr = Resistance of conductor at reference temperature Tr 
α = Temperature coefficient

mr._scampy · Answer

Some necessary info to solve: #10 AWG = 10,381 CM
                                           ρ of aluminum = 17.0 CM-Ω/ft
                                           α of aluminum = 0.004308
                                           80ºF = 26.66ºC

If I left any key information out here, let me know please.