Final answer:
The two types of vigorous physical activities recommended are aerobic exercises, which include continuous activities like running, and anaerobic exercises, which consist of intense activities like weight training.
Step-by-step explanation:
The two types of vigorous physical activities shown in the physical activity pyramid are aerobic exercises and anaerobic exercises. Aerobic exercises, such as running or cycling, involve continuous, rhythmic activity that improves cardiovascular health and increases muscular endurance.
On the other hand, anaerobic exercises include activities like weight training or sprinting, which are characterized by short bursts of intense activity that increase muscle strength. Both are crucial for a balanced exercise regimen and play a significant role in the evidence-based physical activity recommendations provided by the Department of Health and Human Services (HHS).