00:01
During a trip to new york city, lillig decides to estimate the height of the empire state building.
00:05
So here we're going to write here.
00:06
Here's the empire state building.
00:09
She measured an angle of elevation to the top of the building as 21 degrees.
00:14
So she's out here somewhere on the street, measures the angle of elevation to be 21.
00:21
Now she walks closer to the building, and it looks like that's supposed to be 102 feet.
00:27
So we're going to put this as going to be 102 feet.
00:30
Looks up and now the angle of the elevation is 26 degrees and we're looking for the height.
00:38
What can we do here to get our height? so i'm going to work inside this outside triangle.
00:49
I know that this angle is going to be 180 minus the 126 so that's going to be 154.
00:54
And now i can also find this angle to let's see 154 plus the 21 that's 175 so that's going to be 5 degrees.
01:03
Once i've done that, i can find this distance here by using the law of signs.
01:10
So i can say i'm looking for h.
01:12
I'm going to go back to black.
01:14
I'm looking for h.
01:15
I put that over the sign of 21.
01:18
And then i know that we know the 102, and that's over the sign of 5 degrees.
01:24
So h is going to be 102, sign of 21, over the sign of 5...