Chapter 6: Q15. (page 478)
From degrees to radians
Find the radian measure of the angle . Round your answer to three decimal places.
Short Answer
Angle in radians is
Chapter 6: Q15. (page 478)
From degrees to radians
Find the radian measure of the angle . Round your answer to three decimal places.
Angle in radians is
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Get started for freeOrbit of the Earth Find the distance that the earth travels inone day in its path around the sun. Assume that a year has365 days and that the path of the earth around the sun is acircle of radius 93 million miles. [Note:The path of theearth around the sun is actually an ellipsewith the sun at onefocus (see Section 11.2). This ellipse, however, has very
small eccentricity, so it is nearly circular]
Using a Protractor to Estimate Trigonometric Ratios Using a protractor, sketch a right triangle that has the acute angle . Measure the sides carefully, and use your results to estimate the six trigonometric ratios of .
Object A is traveling along a circle of radius 2, and Object is traveling along a circle of radius 5. The objects have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?
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 to the zenith. Use this information and the figure to find the radius and circumference of the earth.
Find the radius of the circle if an arc of length on the circle subtends a central angle of .
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