In the modern era, cooling systems are essential for almost every building, often relying on active cooling powered by non-renewable fossil fuels. However, there is a promising alternative to partially replace active cooling with natural environmental conditions for achieving comfort. This study aims to explore the relationship between radiative cooling power and the temperature difference between the ambient environment and the sky. The research analyses energy parameters, such as radiative cooling power and radiative efficiency, while considering variations in ambient temperature, relative humidity, and emissivity of the radiative cooler surface. The results show that an increase in ambient temperature and emissivity leads to higher radiative efficiency, ranging from 20-30%, while relative humidity has a negative impact on radiative efficiency. The exergy efficiency decreases from 21% to 2% as the heater tank temperature and ambient temperature increase, but it increases from 2% to 21% as the radiative cooler temperature decreases. With higher ambient temperature and relative humidity, the required surface area for cooling also increases, resulting in an elevated Total Annualized Cost (TAC) of the system from 3$/h to 6$/h. However, due to the higher emissivity, the surface area requirement for cooling decreases, leading to a reduced TAC from 5.8$/h to 4.87$/h.