A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

I will medal and fan I need help with part 2 Xavier is riding on a Ferris wheel at the local fair. His height can be modeled by the equation H(t) = 20cosine of the quantity 1 over 15 times t + 30, where H represents the height of the person above the ground in feet at t seconds. Part 1: How far above the ground is Xavier before the ride begins? Part 2: How long does the Ferris wheel take to make one complete revolution? Part 3: Assuming Xavier begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Xavier's height above the ground reaches a minimum?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @jim_thompson5910 ?

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So the H(t) function is this \[\Large H(t) = 20\cos\left(\frac{1}{15}t+30\right)\] right?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yea solved it and got 50. Is that correct?

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so the +30 is definitely inside the parenthesis and not outside?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[H(t)=20 \cos \left( \frac{ π }{ 15 }t \right)+30\] that's the equation

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So yes, plugging in t = 0 gives 50 as the output

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    at t = 0 seconds, he is at a height of 50 ft

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, what exactly do I do for the second part? That part confuses me

  10. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The part in red represents the coefficient for the t variable \[\Large H(t)=20 \cos \left( {\color{red}{\frac{ π }{ 15 }}}t \right)+30\] this is the value of B. To find the period you would use the formula T = 2pi/B

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So it would be \[\frac{ 2π }{ \left( \frac{ π }{ 15 } \right) }\]

  12. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, simplify that fraction

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We can take out the pi's right? so we would now have \[\frac{ 2 }{ 15 }\]

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large \frac{ 2π }{ \left( \frac{ π }{ 15 } \right) } = \frac{2\pi}{1} \times \frac{15}{\pi} = ???\]

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohh \[\frac{ 30π }{ 1π }\] ?

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and the pi's will cancel

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so T = 30 is the period t is in seconds, which means the period is 30 seconds that means the ferris wheel completes a cycle every 30 seconds

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay thank you :) I'll try and see if I can get part three on my own and if not I'll let you know :)

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    alright

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay I'm confused as to what the question is asking exactly

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433458814224:dw|

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    "Part 3: Assuming Xavier begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Xavier's height above the ground reaches a minimum?" at time t = 0, he starts at this point here |dw:1433458873515:dw|

  23. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how long does it take to go around the full circle?

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    30 seconds

  25. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so how long does it take to go from the very top, to the very bottom?

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    15 seconds

  27. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    plug in t = 15 and tell me what you get

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I get a decimal when I plug it into my calculator 92.83185307

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    make sure you are in radian mode

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[H(15)=20\left( \frac{ π }{ 15 }15 \right)+30\] \[\frac{ π }{ 15 }\times \frac{ 15 }{ 1 }=\frac{ 15 }{ 15 }=1\] \[20\left( 1 \right)+30=50\] correct?

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wait

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[H(15)=20\left( \frac{ π }{ 15 }15 \right)+30 \] \[\frac{ π }{ 15 }\times \frac{ 15 }{ 1 }=\frac{ 15π }{ 15 }=1π?\]

  33. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you'll have 20*cos(pi) + 30 = ???

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I get 49.9?

  35. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you should find cos(pi) = -1 try again

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    10?

  37. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep 10

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay so the edge of the Farris wheel is 10ft from the ground when Xavier's height above the ground reaches a minimum

  39. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep the lowest it goes is 10 ft off the ground |dw:1433460789409:dw|

  40. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you :)

  41. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you're welcome

  42. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.