2. A Ferris wheel 70 feet in diameter completes one revolution left every 58 seconds. Its center point is 40 feet above the ground. a.) Write a sinusoidal function H (t) to model a rider's height above ground as a function of time t in seconds. How long does it take a rider to go from the lowest point of travel to 61 feet above the ground? [First transform your function to make lowest point correspond to time t = 0.1 b.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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2.
A Ferris wheel
70 feet in diameter completes one revolution left
every 58 seconds. Its center point is 40 feet above the ground.
a.) Write a sinusoidal function H(t) to model a rider's height
above ground as a function of time t in seconds.
How long does it take a rider to go from the lowest point
of travel to 61 feet above the ground? [First transform your
function to make lowest point correspond to time t = 0.1
b.)
Transcribed Image Text:2. A Ferris wheel 70 feet in diameter completes one revolution left every 58 seconds. Its center point is 40 feet above the ground. a.) Write a sinusoidal function H(t) to model a rider's height above ground as a function of time t in seconds. How long does it take a rider to go from the lowest point of travel to 61 feet above the ground? [First transform your function to make lowest point correspond to time t = 0.1 b.)
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