Final answer:
The logistics branch is responsible for tactical sustainment in Divisions and above, with engineers, supply, medical, and transportation units providing essential support.
Step-by-step explanation:
The element that provides tactical sustainment in Divisions and above within the military context is typically the logistics branch, which may include various specialized units such as engineers, medical units, transportation, and supply divisions.
These entities work together to ensure that military operations have the necessary support in terms of materials, infrastructure, medical care, and other logistics-related functions critical to sustaining combat operations and overall mission success.
The provided image where a U.S. Army engineer is directing traffic across a pontoon bridge is a prime example of how engineers play a crucial role in establishing the necessary infrastructure to enable the movement and support of troops, which is essential for any military operation.