Eratosthenes of Cyrene [born ca. 276 BCE, Cyrene, Libya-died ca. 194 BCE, Alexandria, Egypt] made the first measurement of the size of Earth for which any details are known. His method is illustrated. On the first day of summer he observed that the sun was directly overhead at noon in Cyrene. At the same time the sun was 7.2° from overhead in Alexandria, which is distance d north of Cyrene. From the data, estimate

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Eratosthenes of Cyrene [born ca. 276 BCE, Cyrene,
Libya-died ca. 194 BCE, Alexandria, Egypt] made the
first measurement of the size of Earth for which any
details are known. His method is illustrated. On the
first day of summer he observed that the sun was
directly overhead at noon in Cyrene. At the same time
the sun was 7.2° from overhead in Alexandria, which
is distance d north of Cyrene. From the data, estimate
the radius of Earth, in miles.
[Data for
Alexandria
Syene
d = 787 km]
from
Sun
Transcribed Image Text:Eratosthenes of Cyrene [born ca. 276 BCE, Cyrene, Libya-died ca. 194 BCE, Alexandria, Egypt] made the first measurement of the size of Earth for which any details are known. His method is illustrated. On the first day of summer he observed that the sun was directly overhead at noon in Cyrene. At the same time the sun was 7.2° from overhead in Alexandria, which is distance d north of Cyrene. From the data, estimate the radius of Earth, in miles. [Data for Alexandria Syene d = 787 km] from Sun
Expert Solution
Step 1

Given

              Angle = 7.2o

Arc distance, d = 787 km

Find

 Radius, R

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