Polyline.Lengths returns Degrees (as defined per SpatialReference.Unit,) but I would rougher display it in meters.
However AngularUnit does not have a ConvertToMeters methods...
(B.T.W the snippet "LinearUnit - Convert between centimeters and millimeters" is so pathetic...)
You could reproject the data to a Projected Coordinate System.
Project—Data Management toolbox | ArcGIS for Desktop
OR
You could define a Projected coordinate system to new data frame, add the layer using appropriate transformation method. Then, add a new field (say "Len_mtr"; Datatype="Double"). Using Calculate Geometry, you could define the length in linear unit using the coordinate system of the data frame.