00:01
We are going to be able to answer this question using right triangle trigonometry.
00:06
We've got a flagpole, guy wires, and distance.
00:16
So really we have an equilateral triangle, making in this right triangle base half of x plus 8, which is one half of x plus 4.
00:41
And we can do pythagorean theorem.
00:43
X squared plus one half of x plus four squared is x plus eight squared.
01:01
Square the binomial, which will give us one -fourth x squared.
01:07
One -half x times four, which is two x doubled plus 16, equals x squared plus 8x doubled plus 64.
01:27
X squared minus x squared.
01:33
Leaves us with 1 4x squared, subtract 16x, subtract 64.
01:51
I'd like to multiply the equation by 4 so that i don't have a fraction.
02:11
And then we want to try to solve by factoring.
02:17
Let's calculate b squared minus 4 times a times c...