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123. Approximating the Circumference of Earth Eratosthenes of Cyrene (276-195 BC) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting Syene, he noticed that the Sun’s rays shone directly down a well. On this date a year later, in Alexandria (which is 500 miles due north of Syene), he measured the angle of the Sun to be about 72 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.

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01:32

Approximating the Circumference of Earth Eratosthenes of Cyrene $(276-195 \mathrm{BC})$ was a Greek scholar who lived and worked in Cyrene and Alexandria. One day, while visiting in Syene, he noticed that the Sun’s rays shone directly down a well. On this date 1 year later, in Alexandria, which is 500 miles due north of Syene, he measured the angle of the Sun to be about 7.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.

03:49

Eratosthenes of Cyrene $(276-195 \mathrm{BC})$ was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in Syene he noticed that the Sun’s rays shone directly down a well. On this date 1 year later, in Alexandria, which is 500 miles due north of Syene he measured the angle of the Sun to be about 7.2 degrees See the figure. Use this information to approximate the radius and circumference of Earth.

Eratosthenes of Cyrene $(276-195 \mathrm{BC})$ was a Greek scholar who lived and worked in Cyrene and Alexandria. One day, while visiting in Syene, he noticed that the Sun’s rays shone directly down a well. On this date 1 year later, in Alexandria, which is 500 miles due north of Syene, he measured the angle of the Sun to be about 7.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.

01:52

Eratosthenes of Cyrene $(276-195$ ac) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in Syene, he noticed that the Sun’s rays shone directly down a well. On this date 1 year later, in Alexandria, which is Soo miles due north of Syene, he measured the angle of the Sun to be about 7.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.(GRAPH CANT COPY)

02:46

Circumference of the Earth 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 $7.2^{\circ}$ to the zenith. Use this information and the figure to find the radius and circumference of the earth.

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