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Chapter 6: Q 40. (page 381)
Find the exact value of each expression. Do not use a calculator.
The exact value of
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If the radius of a circle is and the length of the arc subtended by a central angle is also , then the measure of the angle is .
Discuss why ships and airplanes use nautical miles to measure distance. Explain the difference between a nautical mile and a statute mile.
Nautical Miles A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle† on the surface of Earth. See the figure. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.
An angle is in ________ _________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.
Use a calculator to find the approximate value of each expression rounded to two decimal places.
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