3. The Greek mathematician Eratostenes (ca. 276-195 B.C.) measured the circumference ofthe earth from the following observations. He noticed that on a certain day the sun shonedirectly down a deep well in Syene (modern Aswan). At the same time in Alexandria, 500miles north (on the same meridian), the rays of the sun shone at the angle of 7.2◦to thezenith. Use this information to find the radius and the circumference of the earth

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 29E
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3. The Greek mathematician Eratostenes (ca. 276-195 B.C.) measured the circumference ofthe earth from the following observations. He noticed that on a certain day the sun shonedirectly down a deep well in Syene (modern Aswan). At the same time in Alexandria, 500miles north (on the same meridian), the rays of the sun shone at the angle of 7.2◦to thezenith. Use this information to find the radius and the circumference of the earth

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