00:01
A 400 foot tower has guide wire attached to it that makes a 60 degree angle with the level ground.
00:06
How far from the base of the tower is the wire anchored? so we can draw this as a triangle.
00:15
It's a 400 foot tower.
00:17
This is my tower, it's 400 feet.
00:19
And it makes a 60 degree angle that is level with the ground.
00:23
So my 60 degree angle is here and my tower is perpendicular to the ground.
00:27
So this is a 90 degree triangle.
00:30
And we wanna know how long is the guide wire, which is right here, it is my hypotenuse.
00:36
Well, this is a 30, 60, 90 degree triangle.
00:39
The reason i know that is because if this is 90 degrees and this is 60, this is gonna be 30 because all triangles equal 180 degrees and 180 minus 90 minus 60 that we were given is 30 degrees.
00:53
Well, there's actually a special relationship that happens between 30, 60, 90 triangles that allows us to figure out the other lengths without doing the pythagorean theorem, without needing to do trigonometry or anything of that nature...