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4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.

4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.
Transcribed Image Text:4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.
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