Convert from rute [Germany] to hair's breadth

Unit Definition (rute [Germany])
The rute is a traditional German unit of distance corresponding to the English rod. In fact, "rute" is the German word for rod. The rute had varying lengths, as short as 10 fuss (German feet) and as long as 16 fuss. This could be anywhere from about 3 meters to 4.5 meters.

Unit Definition (hair's breadth)
The hair's breadth is a common informal unit of distance. Human hairs vary considerably in width, depending on age, color, genetics, and other factors. An average hair is approximately 70 to 100 micrometers (µm) in diameter, so, as a rough standard, a hair's breadth is 100 µm or 0.1 millimeter (mm).