00:01
Okay, in this question we're going to talk about finding the angle between two stars in the sky in a binary system.
00:08
So we have these two stars which are separated by 10 to 8 kilometers and their distance from us is 100 light years.
00:16
And we need to find what the angle separating them is from our point of view.
00:22
Right, so this is some fairly simple trigonometry.
00:25
We just need to realize that this angle, theta, is twice the angle, which i could call phi, which forms a right, or which is part of the right triangle that i'm drawing right here, where the hypotenuse is still the same thing.
00:46
But this length over here is five times 10 to 8 kilometers.
00:53
So we can easily find this angle phi, and then we just need to double it in order to find theta.
00:59
Theta is 2 times phi and phi is the inverse sign of the opposite of the hypotenuse.
01:11
So 5 times 10 to 8 kilometers divided by hypotenuse, which is 100 light years...