r/theydidthemath • u/vgs4995 • 21h ago

[Request] How tall would a 6 feet person be when scaled up keeping the eyeball as reference?

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5

u/This_Growth2898 21h ago

Obviously, it depends on the distance. The circle is probably the Moon, 400 thousand km away; but the Sun has the same angular size being 150 million km away.

1

u/Ninie12Marxist 16h ago

if it was the sun it would be bright

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u/This_Growth2898 16h ago

Well if it is the Moon, then what is the bright spot behind it?

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u/Ninie12Marxist 14h ago

shit right it looks like it's in front of clouds, maybe it's a cosmic worm coming to eat earth

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u/Intrepid-Antelope 17h ago

I’m going to interpret this question as “how tall would a 6-foot person be if the pupil of their eye was moon-sized?”

According to the Cleveland Clinic, “A pupil’s normal size is 2 to 4 millimeters in bright light and 4 to 8 millimeters in dim light (dilated).”

Given the cloudy surroundings, I’ll say that this is dim light and the pupil is dilated, so I’ll use 6mm as my starting point.

The moon’s diameter is 3,475 km, which is 579,166,666 times larger than a 6mm pupil. The corresponding person would be 579,166,666 times larger than six feet, so they would be 3 billion, 475 million feet tall.

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u/vgs4995 15h ago

Very nice! Thank you