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Easy scientific measurement 
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#1
Oct708, 12:58 AM

P: 4

1. The problem statement, all variables and given/known data
The Shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 the Earth's radius. Is there a geometric connection between these two 1to8 ratios? 2. Relevant equations Not sure exactly what kind of answer they are looking for here. 


#2
Oct708, 04:28 AM

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P: 26,157

You've left out that at noon during the summer solstice, the sun at Syene is directly overhead. (I know that 'cos this is a wellknown experiment by Eratosthenes in about 200 BC ) Does that help? 


#3
Oct708, 12:10 PM

P: 4




#4
Oct708, 01:45 PM

P: 295

Easy scientific measurement
Look at this flashy simulation of the experiment, it is a demo but you can see from it the basic geometry used.
Here 


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