Chapter 6: Q. 4 (page 364)
A __________ __________ is a positive angle whose vertex is at the center of a circle.
The solution is central angle .
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graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.
Designing a Little League Field For a 60-foot Little League Baseball field, the distance from home base to the nearest fence (or other obstruction) in fair territory should
be a minimum of 200 feet. The commissioner of parks and recreation is making plans for a new 60-foot field. Because of limited ground availability, he will use the minimum required distance to the outfield fence. To increase safety, however, he plans to include a 10-foot wide warning track on the inside of the fence. To further increase safety, the fence and warning track will extend both directions into foul territory. In total, the arc formed by the outfield fence (including the extensions into the foul territories) will be subtended by a central angle at home plate measuring 96°, as illustrated.
(a) Determine the length of the outfield fence.
(b) Determine the area of the warning track.
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.
Explain the difference between linear speed and angular speed.
The Cable Cars of San Francisco At the Cable Car Museum you can see the four cable lines that are used to pull cable cars up and down the hills of San Francisco. Each cable travels at a speed of 9.55 miles per hour, caused by a rotating wheel whose diameter is 8.5 feet. How fast is the wheel rotating? Express your answer in revolutions per minute.
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