The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function h=6sin(1.05t−1.57)+8ℎ=6sin(1.05t-1.57)+8  where hℎ  is the height of the rider above the ground, in metres, and t  is the time, in minutes, after the ride starts. When the rider is at least 11.5 m above the ground, she can see the rodeo grounds. During each rotation of the Ferris wheel, the length of time that the rider can see the rodeo grounds, to the nearest tenth of a minute, is  min.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function

h=6sin(1.05t−1.57)+8ℎ=6sin(1.05t-1.57)+8 

where hℎ  is the height of the rider above the ground, in metres, and t  is the time, in minutes, after the ride starts.

When the rider is at least 11.5 m above the ground, she can see the rodeo grounds. During each rotation of the Ferris wheel, the length of time that the rider can see the rodeo grounds, to the nearest tenth of a minute, is  min.

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