Question

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.

Answer 1

@ganeshie8

Answer 2

@Hero

Answer 3

@IrishBoy123

Answer 4

do you recognise this?


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

Answer 5

yea thats the standard form

Answer 6

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

Answer 7

so you have two points on the ellipse, right?

Answer 8

right

Answer 9

ok

shall we draw?



is that how you see it?