00:01
So this problem here, we'll have ourselves a vertical pole.
00:04
On top of this vertical pole is an antenna.
00:08
So we're told that the vertical antenna is a top of 47 foot tall.
00:12
So this distance from here to here is 47 feet.
00:15
From a point on a level ground, 73 feet from the base of the pole.
00:19
So we're going to go all the way over to here.
00:22
This is a 73 foot distance.
00:25
The antenna subtend sends an angle 10 .9 degrees.
00:29
So what that means is if i were to connect the top and i would connect the bottom, that this would be 10 .9 degrees.
00:38
What we're trying to figure out here is the length of the antenna.
00:42
So what is this length right here? so we're going to need to find some information here about the scenario.
00:48
Specifically, we need to find out what is this angle here.
00:51
And then we need to find out what the whole length from top to bottom is going to be.
00:56
So the way that we can do this is by using regular sign.
01:00
Or tangent or cosine.
01:02
So looking at the triangle at the bottom looks like we have opposite and adjacent so we can use tangent.
01:07
So tangent of the angle, which we don't know.
01:10
So we'll call this angle x.
01:12
Well, let's do as a different letter because we have the x up there...