Yes. The relationship is described by the Scheimpflug principle: the sensor plane, lens plane, and subject (focus) plane intersect along a common line. That means the plane-of-focus angle is not set by lens tilt alone; it also depends on focus distance.

A commonly used form is:

tan(ψ) = (u′ / f) · sin(θ)

where ψ is the angle of the plane of focus, u′ is the distance from the lens to the plane of focus along the line of sight, f is the focal length, and θ is the lens tilt angle.

So:

• given tilt θ, you can calculate the focus-plane angle ψ
• given a desired ψ, you can solve the same relationship for θ

The key takeaway is that there is no one fixed correspondence between “8° of lens tilt” and “X° of focus-plane tilt” without also knowing the focus distance and focal length.