Constraining to a Split Line

Hi,

I am not very good at Split Lines and I know it is because of ignorance on my part.

Anyway, here is the scenario...I created a split line in the middle of a cylindrical part.

I have a sketch that is below the split line in the feature manager and in editing the sketch

I want to contrain a point between a sketched centerline and the tangant of the split line.

The sketch is also at an angle to the split line.  Can this be done?

SolidworksParts And Features