@ShawnaK,
Try this as a work-around:
1. Extrude (EXTRUDE) your line (vertical in your picture) to some small distance (e.g. 0.1; direction doesn't matter; can't be a feature line - copy/paste and explode if necessary).
2. Use SURFTRIM to trim the newly extruded solid (If your trimming surface is a TIN surface, see supplemental steps below 2a, 2b, etc.).
*You may have to use this command twice as sometimes a small tail is left after the trim. You can check by running inquiry to check if the grip elevation and surface elevation match or by viewing the trimmed solid and surface in the object viewer.
3. Drag the endpoint grip of your line to coincide with the newly trimmed end of the extruded surface.
4. Delete the extruded vertical surface.
For TIN Surfaces:
2a. Identify the approximate crossing point.
2b. Turn on Triangles in the TIN Surface Style.
2c. Use 3DFACE to create a plane that will intersect with your line. If you're not sure exactly which triangle to use, you can repeat the 3DFACE command with the surrounding triangles.
2d. Select your newly create 3D Faces, and use CONVTOSURFACE to convert them to surfaces.
Move on to step 3.
It would be nice if there was a snap for the intersection of a line and a surface, or the ability to use surfaces to trim lines, but this isn't too bad. I use it to find where pipes penetrate the sidewalls of earthen basins.
Grant