Roadwork next 1.41 MilesThis raises a number of questions. First, how many digits are really needed? Would alerting drivers that the construction will last for 1.4 miles be sufficient? How can the additional one hundredth of a mile matter?
But maybe the 1.41 arose because they were trying to approximate the square root of two. Maybe the construction follows the hypotenuse of an isosceles triangle whose legs have a length of one mile. The stretch of road is sufficiently curvey that this doesn't seem to be a possibility. Nevertheless, it's a fun thing to think about.