00:01
So we have this picture of a right triangle and then another right triangle within that triangle.
00:05
So we know we have this right triangle with this being 30 degrees and that's a right angle.
00:11
But then we have another right triangle right here.
00:15
And we know that the length of that side is five.
00:18
And so we want to figure out how long x is.
00:22
Now, first of all, in a 30, 60, 90 triangle just in general, if this is 30 degrees and this is 60 degrees, key thing to remember is if you know how long this side is, then the hypotenuse is always twice as long, and the side opposite the 60 degrees is square root of three times bigger than the short side.
00:45
So here's short side, long side, or the hypotenuse is going to be twice as long.
00:50
So going back to here, we actually know how long this side is.
00:54
This is five.
00:55
So this hypotenuse in this right triangle must be 10.
00:59
And we also know that we want to find x...