Use Draft to create a surface in the form of a set of profile curves along a pull angle.

❒.
Pull a surface from a set of curves
in Draft mode.
-click a point on one of
the original curves to add another angle/depth manipulator. (Input
curves must be at least tangent continuous for this to work).
-click an angle/depth manipulator
to delete it.

Interactively, with the manipulator

Through the Vector Options in the option box
Set the angle and depth at a point along the draft surface

The surface has problems, and shows red dotted lines?
The pull direction is too close to the tangent of the curve indicated by the red dotted line.