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Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d, Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7,etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) V sin (0.07t – ) Of(t) = 0 V f(t) = 77 Ot = 0 Of(t) = 41 36 sin (0.07t – 5) + 41 = 77

Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d, Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7,etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) V sin (0.07t – ) Of(t) = 0 V f(t) = 77 Ot = 0 Of(t) = 41 36 sin (0.07t – 5) + 41 = 77

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 47E
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Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d. Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7.etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) O sin(0.07t – 5) = 1 Of(t) = 0 Vf(t) = 77 Ot = 0 Of(t) = 41 O 36 sin (0.07t – 5) + 41 = 77
Transcribed Image Text:Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d. Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7.etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) O sin(0.07t – 5) = 1 Of(t) = 0 Vf(t) = 77 Ot = 0 Of(t) = 41 O 36 sin (0.07t – 5) + 41 = 77
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