SOLUTION: The Greek mathematician Eratosthenes (ca. 276-195 B.C.) measured the circumference of the earth from the following observations. He noticed that on a certain day the sun shone dire

Algebra.Com
Question 566231: The Greek mathematician Eratosthenes (ca. 276-195 B.C.) measured the circumference of the earth from the following observations. He noticed that on a certain day the sun shone directly down a deep well in Syene (modern Aswan). At the same time in Alexandria, 500 miles north (on the same meridian), the rays of the sun shone at an angle of 7.2° to the zenith. Use this information and the figure to find the radius of the earth. (Round your answer to the nearest ten miles.)
mi
Use this information and the figure to find the circumference of the earth.
mi

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the 7.2º is the size of the arc on the Earth's circumference covered by 500 mi
RELATED QUESTIONS

The Greek mathematician Eratosthenes (ca. 276-195 B.C.) measured the circumference of the (answered by scott8148)
circumference of the Earth the Greek mathematician Eratosthenes measured the... (answered by ikleyn)
Please help me to solve this Eratosthenes of Cyrene was a Greek scholar whole lived... (answered by ikleyn)
If Eratosthehne were alive in the U.S. today, he could repeat his calculation of the... (answered by stanbon)
This problem outlines how Eratosthenes of Cyrene approximated the diameter of the earth... (answered by stanbon)
This problem outlines how Eratosthenes of Cyrene approximated the diameter of the earth... (answered by Boreal)
Add the following vectors: A = 352, θA = 174° and B = 276, θB = 358° (answered by Fombitz)
Add the following vectors: A = 352, θA = 174° and B = 276, θB = 338° (answered by MathLover1)
Add the following vectors: A=352,øA=174° and B=276,øB=358° (answered by Fombitz)