Final answer:
The anatomical site of greatest risk for the development of a deep tissue is bony prominence areas such as the sacrum, greater trochanter, and the heel due to their thin soft tissue covering and small radius of curvature.
Step-by-step explanation:
The anatomical site that is at greatest risk for the development of a deep tissue due to its relatively thin soft tissue covering and small radius of curvature is the bony prominence areas such as the sacrum, greater trochanter, and the heel. These areas have less soft tissue padding and are subjected to increased pressure or friction, increasing the risk of deep tissue injuries such as pressure ulcers.