Final answer:
Using the lens equation, one can find how far from the lens the film must be for a camera with a 50.0 mm focal length. The fraction of a 1.75 m tall person fitting on a 36.0 mm film is determined by comparing the image height to the film height. The common experience in photography suggests not the entire height of the person would fit, especially with such a short focal length lens.
Step-by-step explanation:
A 50.0 mm focal length lens is being used to photograph a person standing 3.00 m away. To determine how far from the lens the film must be, one would use the lens equation 1/f = 1/do + 1/di, where f is the focal length of the lens, do is the object distance (person in this case), and di is the image distance (distance from lens to film). As for the fraction of the 1.75 m tall person that will fit on the 36.0 mm high film, it can be calculated by finding the image height using the magnification equation m = -di/do and then comparing the obtained image height to the height of the film. Based on the dimensions provided, it seems unlikely that the full height of the person will fit on the film, which is reasonable given the common experience when taking photographs where you often need to step back to fit a full person within the frame.