00:01
Okay, so we have an elliptical shaped lawn has a major axis of 36 feet, which is right here, minor axis of 25 feet, two fountains located at the foci, which i'm just kind of roughly sketching as right there.
00:12
How far from the center should the fountains be located, and how far apart are the fountains? so to help with this, we're going to take each of these major and minor axes and divide by two.
00:23
So i take 36 divided by two is going to give me 18, 25 divided by two is going to give me 12 .5.
00:29
So the formula will look like this, x squared over 18 squared plus y squared over 12 .5 squared equals 1.
00:42
Now, in this scenario, to find the fosi, we're actually going to take these two square them and subtract and then square root them.
00:50
Because the foside c squared is equal to a squared minus b squared here.
00:55
So we're going to take c squared is equal to 18 squared, which is 324, minus 12 .5 squared, which is 156 .252.
01:13
Oops, a lot a little better...