Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 3, Problem 14CC
To determine
Whether the Earth was assumed to be larger, smaller, or approximately the same size, if Eratosthenes had found that the sun’s noontime summer solstice altitude at Alexandria had great proximity to directly overhead.
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How would Eratosthenes’s estimate have been different if the sun were actually closer to Earth?
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 Earth’s radius. Is there a geometric connection between these two 1-to-8 ratios?
If Earth were smaller than it is, but the Alexandria-to-Syene distance were the same, would the shadow of the vertical pillar in Alexandria be longer or shorter at noon during the summer solstice?
Chapter 3 Solutions
Universe
Ch. 3 - Prob. 1CCCh. 3 - Prob. 2CCCh. 3 - Prob. 3CCCh. 3 - Prob. 4CCCh. 3 - Prob. 5CCCh. 3 - Prob. 6CCCh. 3 - Prob. 7CCCh. 3 - Prob. 8CCCh. 3 - Prob. 9CCCh. 3 - Prob. 10CC
Ch. 3 - Prob. 11CCCh. 3 - Prob. 12CCCh. 3 - Prob. 13CCCh. 3 - Prob. 14CCCh. 3 - Prob. 1CLCCh. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 27QCh. 3 - Prob. 28QCh. 3 - Prob. 29QCh. 3 - Prob. 30QCh. 3 - Prob. 31QCh. 3 - Prob. 32QCh. 3 - Prob. 33QCh. 3 - Prob. 34QCh. 3 - Prob. 35QCh. 3 - Prob. 36QCh. 3 - Prob. 37QCh. 3 - Prob. 38QCh. 3 - Prob. 39QCh. 3 - Prob. 40QCh. 3 - Prob. 41QCh. 3 - Prob. 42QCh. 3 - Prob. 43QCh. 3 - Prob. 44QCh. 3 - Prob. 46QCh. 3 - Prob. 47QCh. 3 - Prob. 48QCh. 3 - Prob. 49QCh. 3 - Prob. 50QCh. 3 - Prob. 53Q
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