00:01
In this question, we're given that a woman standing on a heel, sees a flagpole and she knows is 60 feet tall.
00:14
So let's just draw a hill and this is the position of the woman and she can see a flat pole that is 60 feet tall.
00:30
The angle of depression of the bottom of the pole is 14 degrees and the angle of elevation of the top of the pole is 18 degrees.
00:46
We'll be finding a distance x from the pole.
00:50
Now let's make an adjustment there.
00:59
What we want to do is to draw the flag pool.
01:05
That's the flag and then we need to show that the angle of elevation is 18 degrees.
01:23
The angle of elevation to the top is 18 degrees and the angle of depression to the bottom is 14 degrees.
01:36
And that the plaque pool is 60 feet tall.
01:41
So we want to find a distance x from the pool.
01:45
So we're looking for this distance x from the pull.
01:51
So the shortest distance between a point and a line is the perpendicular distance.
01:56
So that's what we're looking for.
02:01
Now to find that distance we have to split this 60 feet into two parts.
02:11
So the top part can be y and the bottom part is 60 minus y.
02:22
Next, we can make an expression of an expression that includes the value x in both cases, where we use y and 60 minus y...