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15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos (1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds?

15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos (1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos(1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds? d) At what time, during the first rotation, is the person 34 m above the ground?
Transcribed Image Text:15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos(1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds? d) At what time, during the first rotation, is the person 34 m above the ground?
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