Final answer:
Whether rolling scaffolds can be as high as 125 feet depends on local regulations and safety standards, and the question cannot be answered definitively without this specific information.
Step-by-step explanation:
The question of whether rolling scaffolds designed by a registered professional engineer can be built as high as 125 feet is an engineering safety issue. The answer to this question depends on various factors, including local building regulations, engineering standards, and the specific design and materials used. Generally, scaffolding must be designed to ensure the safety of workers and the stability of the structure, with height restrictions guided by these safety considerations. However, without reference to those specific standards and regulations, it is not possible to definitively say whether rolling scaffolds can be built to that height. As such, it is critical to consult local regulations and work with a professional engineer to determine the maximum safe height for scaffolding in a given location.