Today customers require software systems to provide particular levels of qualities, while operating under dynamically changing conditions. These requirements can be met with di↵erent self-adaptation approaches. Recently, we developed two approaches that are di↵erent in nature -control theorybased SimCA and architecture-based ActivFORMS -to endow software systems with self-adaptation, providing guarantees on desired behavior. However, it is unclear which of the two approaches should be used in di↵erent adaptation scenarios and how e↵ective they are in comparison to each other. In this paper, we apply SimCA and ActivFORMS to the Tele Assistance System (TAS) exemplar and compare obtained results, demonstrating the di↵erence in achieved qualities and formal guarantees.