Final answer:
In a 45-degree right posterior oblique position of the lumbar vertebrae, the mid-coronal plane and the plane of the IR should form a 45-degree angle to adequately demonstrate the lumbosacral Z articulation.
Step-by-step explanation:
To properly demonstrate the lumbosacral Z articulation when the patient is positioned in a 45-degree right posterior oblique position of the lumbar vertebrae, the mid-coronal plane of the patient and the plane of the image receptor (IR) should form a 45-degree angle. This ensures that the anatomy of interest is correctly aligned with the X-ray beam, which is essential for producing a clear diagnostic image. It is important to observe the proper positioning to diagnose conditions such as lordosis, kyphosis, and scoliosis that can cause alterations in normal vertebral curvatures and function.