00:02
So we have this shadow that's 88 meters long, and then we have the top of the building, and it says that this top of the building creates a 32 degree angle right here with the ground, 32 degrees.
00:13
And then we're trying to find x.
00:14
We're trying to find how tall is this building.
00:17
So we have this angle right here, and we have, we're looking for the opposite side, and we have the adjacent side.
00:25
So we're going to use tangent to find out what that side is, because tangent equals the opposite side.
00:32
Side divided by the adjacent side.
00:35
So i'm just going to fill these in and figure out what my x equals.
00:40
So tangent of 32 degrees, tangent of 32 equals the opposite side, which i don't know x, divided by my adjacent side, which i do know is 88.
00:52
Now, i can solve this equation for, oops, i didn't mean to do that.
00:57
I can solve this equation for x by getting it by itself by multiplying both sides by 88 to get that 88 out of the denominator.
01:05
So i'm going to have 88 times tangent of 32 equals x.
01:10
So if i want to find x, all i have to do is multiply these two numbers together.
01:14
The trouble is i don't know what tangent of 32 equals...