00:01
In this problem, it says that frida grays is at the edge of the grand canyon.
00:05
She decided to try to determine the height of the wall opposite to her.
00:10
So that's the wall there.
00:11
Using her measurement meters, so she finds out that the top of the wall is 38, which established an angle of 38 degrees, and at the bottom is 46 degrees.
00:24
So the question is, with the given information that from the distance where frida is to the wall, we need to find the height of the wall.
00:33
So, translating this figure into a schematic which is shown here.
00:39
So f is the position where frida is.
00:42
The wall is given by w to l, so that wl is the length of the wall.
00:47
R to l is the length from where frida is to the wall.
00:51
And these are the angle 38 and 46 corresponding.
00:54
So we need to find out the length wl.
00:57
To start with angle f, afl is given.
01:00
To be 46 degrees though therefore we know that angle f lr so if you look at f lr that would be 46 as well because these are these are alternate angles f lr is the angle um uh should be equal to a fl so these are considering these are alternate angles we can say that in triangle f rl to find out the after to find out f r now considering this this angle here is is now 46 that we've established.
01:34
You can say that tam 46 is equal to fr by rl.
01:39
So that is nothing but 253 multiplied by tan 46 because rl here is 253.
01:46
Therefore you can find out the value of fr.
01:49
The value of f r in this case is 261 .981 feet...