Eagles contribute to nutrient cycling and ecosystem health through their feeding habits in several ways. When eagles hunt and feed on prey such as fish, small mammals, and carrion, they help control the population of these species, preventing overpopulation which can lead to imbalances in the ecosystem. Additionally, eagles act as scavengers, feeding on dead animals and carcasses, which helps to break down and recycle nutrients back into the ecosystem. By playing these roles in the food chain, eagles help maintain the balance of nutrients within their habitat, ultimately contributing to the overall health and diversity of the ecosystem.