4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 7 sin (t – 5)|+ 12, where t is the time, in seconds, and h is the height in metres. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 35 seconds. (c) Determine the first time that the height is 16 m.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function
h(t) = 7 sin
(t – 5)|+ 12, where t is the time, in seconds, and h is the height in metres.
(a) Determine the period and amplitude of this function. Explain the meaning of these quantities within
the context of the question.
(b) Calculate the height at t = 35 seconds.
(c) Determine the first time that the height is 16 m.
(d) When is the next time that this height is reached again?
Transcribed Image Text:4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 7 sin (t – 5)|+ 12, where t is the time, in seconds, and h is the height in metres. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 35 seconds. (c) Determine the first time that the height is 16 m. (d) When is the next time that this height is reached again?
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