Final answer:
Changing the tilt of the cast on the surveyor when designing a removable partial denture alters the path of insertion, which directly affects the undercuts and retention of the denture.
Step-by-step explanation:
When designing a removable partial denture, changing the tilt of the cast on the surveyor alters the path of insertion of the planned removable partial denture. The path of insertion is crucial for ensuring the proper fit and retention of the denture. Altering the position of the cast about the surveyor can reveal different undercut and non-undercut areas, which will affect where the clasps of the partial denture can grip onto the teeth. The path of insertion is determined to avoid these undercuts while ensuring that the partial denture will be stable and retentive. This process is essential in the fabrication of a partial denture that is both functional and comfortable for the patient.