In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F. The campground is 0.25 miles from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular. If the path from the park ranger station to the campground is 0.55 miles, determine and state the distance between the first aid station and the campground (FC).

Gerald believes the distance from the first aid station to the campground is at least 1.5 miles. Is Gerald correct?