Question

A Ferris wheel has a radius of 34.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o’clock position counter clockwise. a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o’clock position,a. b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.

          A Ferris wheel has a radius of 34.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o’clock position counter clockwise. 
a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o’clock position,a.
b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
        
Show more…

Added by Kimberly B.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
A Ferris wheel has a radius of 34.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o’clock position counter clockwise. a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o’clock position,a. b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Jennifer Stoner
Danielle Fairburn verified

Penny Riley and 80 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-ferris-wheel-has-a-radius-of-302-feet-the-bottom-of-the-ferris-wheel-sits-07-feet-above-the-ground-you-board-the-ferris-wheel-at-the-6-0clock-position-and-rotate-counter-clockwise-write-a-82568

A Ferris wheel has a radius of 30.2 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position: f(a) = 30.2sin(a - pi/2) + 30.9 Write a function g that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating: g(s) = .7sin(s/30.2)

Craig W.

a-ferris-wheel-has-a-radius-of-306-feet-the-bottom-of-the-ferris-wheel-sits-06-feet-above-the-ground-you-board-the-ferris-wheel-at-the-6-oclock-position-and-rotate-counter-clockwise-a-write-80468

A Ferris wheel has a radius of 30.6 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a. f(a) = 30.6 - 30.6cos(a) b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s. g(s) = s/30.6

Carson M.

a-ferris-wheel-has-a-radius-of-306-feet-the-bottom-of-the-ferris-wheel-sits-06-feet-above-the-ground-you-board-the-ferris-wheel-at-the-6-oclock-position-and-rotate-counter-clockwise-a-write-80468

A Ferris wheel has a radius of 30.6 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a. f(a) = 30.6 - 30.6cos(a) b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s. g(s) = s/30.6

Carson M.


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,108 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,663 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,135 solutions

*

Transcript

-
00:01 Write a function that determines your height above the ground in terms of the number of ratings you've swept out from the 6 o 'clock position.
00:09 So the general form of our expression for our ferris wheel, which will say f of a is equal to a sign, a plus c plus d.
00:19 A is our amplitude, and that is going to be the radius.
00:23 D is our midline, which is our radius 34 .8 plus 0 .7.
00:29 So our 34 .8 plus 0 .7 .7.
00:32 Gives us 35 .5 feet.
00:36 And now we can plug in .7 is equal to 34 .8 sine 0 .c plus c plus 35 .5.
00:48 We can be ranked this as 34 .8 sine of c is equal to .7 minus 35 .5...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever