Final answer:
The film badge should be placed behind a lead-lined barrier, with the technician standing a few meters away from the X-ray tube head to reduce exposure to radiation.
Step-by-step explanation:
The film badge, used to monitor radiation exposure, should be placed in a location that ensures the safety of the technician during dental X-ray procedures. From the figures provided, it is suggested that the technician stands a few meters away behind a lead-lined barrier when operating the X-ray equipment. While the exact distance in feet is not specified in the information given, the phrase 'a few meters' generally implies a distance of roughly 6 to 10 feet, considering that 1 meter equals approximately 3.28 feet. It is essential for technicians to adhere to safety guidelines to minimize occupational exposure to radiation.