# Question: eratosthenes was a greek mathematician who lived 276194 bc at...

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Eratosthenes was a Greek mathematician who lived 276-194 BC.
At summer solstice he waited until noon, when the sun was directly
overhead in Aswan. He placed a gnomon (basically a stick) at the
bottom of the well at 90° to the ground, and noticed that it cast
no shadow. Then at the same time he had others place a gnomon in
Alexandria. He found that the tip of the gnomon made an angle of 7°
to the edge of the shadow, where the gnomon was again at 90° with
the ground. Based on records at the Library of Alexandria, he knew
that the distance from Aswan to Alexandria was 5,000 stadia.

3. Some historians believe that an Olympic stade, which is
176.4 meters. What % error would this make his calculation off by,
when compared to the modern value?