Thanks TD for your post about the distance between the Gumby figure and the cup. Your inclusion of the photos makes it simple and very easy to explain matters to Indoubtbigtime and other readers.
For about a week I had been thinking along the same lines pertaining the distance between the Earth and the Moon in the NASA photos, but it was trying to think of how to state it simply without me making and uploading any photos (I hadn't even though of taking pictures). Expressing the ideas only in words seemed more tedious and complex to me. I was thinking of saying something along the lines of the following.
"The appearance of the relative size of the Earth and the Moon varies by the distance to the closest of the two celestial objects, especially when one object is vastly greater than the other. Thus, if a camera is very close to the Moon (such as by being on a spacecraft on the Moon or in a low orbit of the Moon), then the Moon looks much larger than the Earth even though the Earth is actually much larger. That is because the relative distance of the camera to the Earth is much greater than that of the camera to the Moon. But, the further away the camera is from both the Earth and Moon, then the Earth is seen as being much larger, because the camera's distance to the Earth on a relative (or percentage) basis is much more nearly the same as camera's distance from the Moon, coupled with the fact that the Earth is much larger than the Moon."
I also thought of suggesting to Indoubtbigtime the following. "Do an experiment of objects in your home, where one object is much larger than another, and then without moving the objects, vary your distance from the pair of objects to see what effect that has on the apparent relative size of the objects and the apparent distance between the pair of objects." At the time I wasn't in the mood of wrihting the above (or something like it) to Indoubtbigtime, especially since I later got a different impression of what Indoubtbigtime thought was the problem with NASA's photos, thus instead I made post about how the Sun and Moon can appear to be very close to a tree or a rooftop, despite actually being immensely away from a tree or a rooftop.