UNIVERSE (LOOSELEAF):STARS+GALAXIES
6th Edition
ISBN: 9781319115043
Author: Freedman
Publisher: MAC HIGHER
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Chapter 1, Problem 22Q
To determine
To define:
Exponent and discuss usage of exponents to write the power of ten.
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BACKGROUND
An ingenious solution to the Earth's circumference occured in 230 BC. Eratosthenes, a Greek
geographer, mathematician, music theorist, poet, astronomer, and philosopher, was reading in the
Library of Alexandria when he noticed an account for a deep well near Syene (now Aswan),
some distance to the south (800 km) in which at high noon on the longest day of the year the
bottom of the well was fully illuminated by the Sun. Eratosthenes exclaimed "Ah-ah!" (or
something like that), "I can solve for the circumference of the Earth!". In his mind's eye,
Eratosthenes could see that at Syene, at the moment when the bottom of the well was fully lit, the
Sun must have been at the Zenith (directly overhead). Yet he knew that at the same moment in
Alexandria vertical objects (like a tower, pole) cast shadows.
Here is the experiment perfomed by Eratosthenes (see the picture below).
• He erected a vertical pole at Alexandria (A) and measured the angle of its shadow at the
moment when the…
Chapter 1 Solutions
UNIVERSE (LOOSELEAF):STARS+GALAXIES
Ch. 1 - Prob. 1QCh. 1 - Prob. 2QCh. 1 - Prob. 3QCh. 1 - Prob. 4QCh. 1 - Prob. 5QCh. 1 - Prob. 6QCh. 1 - Prob. 7QCh. 1 - Prob. 8QCh. 1 - Prob. 9QCh. 1 - Prob. 10Q
Ch. 1 - Prob. 11QCh. 1 - Prob. 12QCh. 1 - Prob. 13QCh. 1 - Prob. 14QCh. 1 - Prob. 15QCh. 1 - Prob. 16QCh. 1 - Prob. 17QCh. 1 - Prob. 18QCh. 1 - Prob. 19QCh. 1 - Prob. 20QCh. 1 - Prob. 21QCh. 1 - Prob. 22QCh. 1 - Prob. 23QCh. 1 - Prob. 24QCh. 1 - Prob. 25QCh. 1 - Prob. 26QCh. 1 - Prob. 27QCh. 1 - Prob. 28QCh. 1 - Prob. 29QCh. 1 - Prob. 30QCh. 1 - Prob. 31QCh. 1 - Prob. 32QCh. 1 - Prob. 33QCh. 1 - Prob. 34QCh. 1 - Prob. 35QCh. 1 - Prob. 36QCh. 1 - Prob. 37QCh. 1 - Prob. 38QCh. 1 - Prob. 39QCh. 1 - Prob. 40QCh. 1 - Prob. 41QCh. 1 - Prob. 42Q
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