A community for students.
Here's the question you clicked on:
 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.
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

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1do you recognise this? \[\displaystyle{\left(\frac{x}{a}\right)^2 + \left(\frac{y}{b}\right)^2} = 1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea thats the standard form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what i don't understand is the description in gives at the end

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so you have two points on the ellipse, right?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1ok shall we draw? dw:1440548805113:dw is that how you see it?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so 2 points, 2 unknowns, ie a and b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the foci are (0, +/ 8) ?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1forget about foci just plug the 2 points into the standard equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(0/a)^2 + (35/b^2) =1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(x^2 / 100) + (y^2 / 1225) = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea ignore what i put first

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1cool here its is https://www.desmos.com/calculator/httgrdpuki but maybe write it prettier \( \displaystyle{\left(\frac{x}{10}\right)^2 + \left(\frac{y}{35}\right)^2} = 1\)
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.