SOLUTION: Anna rides a Ferris wheel at a county fair. At time t=0, Anna is at a height of 5 feet from the ground which is the minimum height of the Ferris wheel. The center of the Ferris Whe
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Question 1083859: Anna rides a Ferris wheel at a county fair. At time t=0, Anna is at a height of 5 feet from the ground which is the minimum height of the Ferris wheel. The center of the Ferris Wheel is at a height of 85 feet. The Ferris Wheel rotates at a constant speed and makes two complete turns during the six minutes that Anna is on the Ferris Wheel.
Part A:
Write a trigonometric function for h(t) to express Anna's height, in feet, in terms of time, t, in minutes. Explain how you determined you answer.
Part B:
Determine Anna's height, in feet at time t= 1 minute
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The general formula for a cosine function is:
is the amplitude
is the phase shift
= period
is the vertical shift
---------------------------------------
(A)
The plot of a point that is a minimum at
and then goes to a maximum and back to a
minimum would be a negative cosine function:
Two turns in 6 minutes is
since there will be no phase shift
So now I have:
( checking this, when ,
which is 2 turns )
-------------------------------------------------
(B)
At 1 min, her height is 125 ft
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This kind of makes sense, because at ,
The ferris wheel is at maximum height:
ft
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Hope this helps -get other opinions if needed
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