00:01
From the information that we are given, we are told that there are two guy wires that are supporting a flagpole.
00:08
And we're told that each guy wire is six feet longer than the height of the pole.
00:13
So if the pole is x feet tall, the guy wires are each x plus six feet long.
00:23
We are also told that the distance between guy wires is equal to the length of a guy wire.
00:35
Wire.
00:36
So that is x plus six.
00:39
So we do have an equilateral triangle.
00:44
We are trying to figure out the height of the flag.
00:49
Well, since the triangle is equilateral, the angle at every spot is 60 degrees.
01:01
I'm going to use the right triangle right here.
01:11
The sign of 60 would be the opposite side, over the hypotenuse.
01:23
The sign of 60 degrees happens to be radical 3 over 2.
01:30
So i have radical 3 over 2 equals x over x plus 6.
01:35
Cross products would tell me that the square root of 3 times x plus 6 times the square root of 3 is equal to 2x.
01:48
In order to solve this, let's get the x's on one side...