[00:01] matian aloni who measured the the radius of the Earth to within 1% what he did was that he climbed a mountain with an ASE he measured The Horizon The Horizon dipped at an angle here's the Earth and here's a mountain not a scale okay so so
[00:16] if you're standing on top of a mountain the The Horizon is actually not horizontal it's at an angle right yeah here's the raise of the earth and you have a right angle triangle the hypotenuse is uh the radius plus the
[00:29] is Theta then by trigonometry this angle is also Theta and so uh there is an cosine [Music] Theta just from elementary trigonometry you can relate the radius of the Earth
[00:44] angle and so you can compute the radius angle and so you can compute the radius I think it's something like H Co so the r of the Earth from the height of your mountain and the angle of
[00:56] declination how did you know the height of the Mountain uh that's a good question uh I guess you could you could walk around a bit and take angles and enough trigonometry you can do it this comes from an interview with teren to
[01:09] about all of the clever ways that Humanity has measured distances in the the most distant galaxies if you want the full story click the link at the the full story click the link at the bottom of this short