00:01
So in this problem, we're told that we have an ellipse, and we know the length of the major axis is 10 feet, the length of the minor axis is six feet.
00:08
We're going to say that our center is going to occur at the point zero -zero, and we know that our major axis is going to be horizontal.
00:14
Our job is to find the length from the center to the focal points.
00:18
So in this particular case, let's think about what this graph would look like.
00:21
So if i set up our diagram here, we know the center is at the origin, zero, and because our major axis is going to be horizontal, that means our graph would look like.
00:30
Graph is going to be in this shape, which tells us that our horizontal, or our major axis is going to be horizontal as well, which tells us that the length from here to here is equal to 10, so this distance is 10.
00:42
But keep in mind that i know my diagram's not the best, remember, these are called your vertices.
00:47
Well, the vertices are the same distance to the center.
00:49
Well, half of 10 is equal to 5.
00:51
And according to our equation for ellipses, that refers to our a value.
00:56
Now, for the length of our minor axis, that would be going in this direction, that this point, the distance from here to here is six.
01:03
But keep in mind, the distance from these endpoints in the center is also equal.
01:07
Well, half of six is equal to three.
01:09
And in terms of our equation for an ellipse, the distance from your minor axis endpoints to your center is your b value.
01:16
So now, because we want to find the link from the center to the focal points, what we need to do is we have to find the c value...