Asked by: Illang Kumaran

So we can make the following points:

- It does not really matter whether you go up from the equator or any other place.
- You can never see "all" of the earth -- one face will always be hidden -- the most you can see is half of the surface.
- You can never see that half fully either, but you can get pretty close.

The rest of it is some geometry, and knowledge about solid angles (or surface of a sphere), which is not really interesting and hard to demonstrate without boring figures. But, overall, the formula comes out to be extremely simple. The fraction of (one-half of) the surface of earth one can see at an altitude h is simply given by:

F = h / (h + R)

where R is the radius of the earth. So, if you go about one earth radius high (which is about 6370 kilometers or 3960 miles) you can see 1/2 of the most you can see. Once you go as far as the moon (roughly 400 000 kilometers away) you can see about 98.4% of one face.

Once again, the answer really depends on the exact definition of the question. If 90% is good enough for you, you only need to go 57000 kilometers (35600 miles) high from the surface of the earth. If you want 100%, that you just are not going to get at any finite distance.

Answered by:
Yasar Safkan, Ph.D., Instructor, Yeditepe University, Istanbul, Turkey

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