1. a certain steel tape, for which the coefficient of expansion is 0.00000645, is exactly 100 feet long at 68 fahrenheit. At 15 fahrenheit the length of the tape is
Look under "thermal expansion coefficient" in the link below - you should be able to construct an equation and get your answer. Basically the coefficient = [(change in length) / (change in temp)] / original length
Coefficient of thermal expansion - Wikipedia, the free encyclopedia
C=k(T1-T)L
C= correction in legth
k=thermal coefficient of expansion
T1=tape temp at time of measurement ie (15 deg)
T=tape temp when it has standard length (68 deg)
L= recorded measurement(100 ft)
Therefore
length of tape at 15 degrees = L+C