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Chapter 6: Q. 46 (page 381)
Find the exact value of each expression. Do not use a calculator.
The exact value of the given expression is .
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Convert each angle in degrees to radians. Express your answer as a multiple of.
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 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 6.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.
Convert each angle in degrees to radians. Express your answer as a multiple of .
Keeping Up with the Sun How fast would you have to travel on the surface of Earth at the equator to keep up with the Sun (that is, so that the Sun would appear to remain in
the same position in the sky)?
Convert each angle in degrees to radians. Express your answer as a multiple of .
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