Final answer:
When departing a satellite airport within Class C airspace and without an operating control tower, you must contact the nearest air traffic control facility. While filing a flight plan is generally a good practice and monitoring the frequency for traffic advisories is helpful, direct communication is the most crucial step for safety and coordination in this scenario.
Step-by-step explanation:
When you are departing a satellite airport that does not have an operating control tower and is located within Class C airspace, the required action you must take is to contact the nearest air traffic control facility.
This action ensures that you are in compliance with the regulations for operating in this airspace and maintain separation and safety.
Other actions such as filing a flight plan with the FAA and monitoring the appropriate frequency for traffic advisories are important but the initial communication with air traffic control is pivotal for a safe departure from a non-towered airport within controlled airspace.
While filing a flight plan is recommended for all flights, it is not specifically required for departing a satellite airport in Class C airspace unless other regulations or individual circumstances mandate it. No action is not an option when departing from such airports as communication is essential for the safety and coordination between aircraft.