A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A railroad tunnel is shaped like a semiellipse as shown below. https://i.gyazo.com/48a130dba78fec600ab1b84c1d706dad.png The height of the tunnel at the center is 35 ft and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.

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

    @ganeshie8

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

    @Hero

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

    @IrishBoy123

  4. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you recognise this? \[\displaystyle{\left(\frac{x}{a}\right)^2 + \left(\frac{y}{b}\right)^2} = 1\]

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

    yea thats the standard form

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

    what i don't understand is the description in gives at the end

  7. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you have two points on the ellipse, right?

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

    right

  9. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok shall we draw? |dw:1440548805113:dw| is that how you see it?

  10. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so 2 points, 2 unknowns, ie a and b

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

    so the foci are (0, +/- 8) ?

  12. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    forget about foci just plug the 2 points into the standard equation

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

    ok

  14. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do (0,35) first

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

    ok gimme a sec

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

    (0/a)^2 + (35/b^2) =1

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

    i solved it

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

    (x^2 / 100) + (y^2 / 1225) = 1

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

    yea ignore what i put first

  20. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    cool here its is https://www.desmos.com/calculator/httgrdpuki but maybe write it prettier \( \displaystyle{\left(\frac{x}{10}\right)^2 + \left(\frac{y}{35}\right)^2} = 1\)

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

    lol ok thanks

  22. 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.