00:01
And this problem will be looking at a trigonometry problem, particularly right triangle trigonometry question.
00:07
Um that doesn't involve any numbers, we're going to have to kind of draw a picture and then kind of rearrange make an equation and then kind of rearrange the equation for solving for a particular letter.
00:16
As the first we do is draw a picture of the scenario.
00:20
So, um, it's talking about walking across flat land, can you notice the wind turbine tower with a height of h feet directly in front of you? so the first images is part a right here.
00:31
I'm just gonna draw basically the ground, the straight line the flat surface and i want to put a little dot to represent um where i am.
00:44
Okay, this is right now, it's where an um, to kind of represent the turbine if you want to be sort of detail to the picture, i'm just gonna draw basically correct angle right here.
00:56
So that's the turbine.
00:59
All right, and then the dot represents you.
01:00
Okay? so, um, we are um, the angle elevation to the top of the tower, we are right now is angle a some degree, is going to draw a line to that turbine.
01:12
This will represent angle a degrees, right.
01:17
And then what you decide to do is just decide to walk a little bit a little bit closer to the turbine and that's a certain amount of feet and they call a defeat.
01:23
So let's say you're right here right now, right and then you're looking at an angle salvation to that top of the turbine, but that's gonna represent be degrees the space that you walked.
01:34
But again, they didn't tell you a number.
01:35
It represents the and this is a right angle right here.
01:39
All right.
01:39
So they in terms of drawing a picture, that's what you would draw.
01:43
Alright, the next thing i asked us for b is um write an expression for the height age of the tower in terms of the angles a.
01:51
And b.
01:51
And the distance deed.
01:55
All right.
01:56
So what we're gonna do is we're gonna use some trig ratios to help set up when i tried to add the high pain right here.
02:02
Um we're going to use on a trigger ratio to set up a couple of equations and then kind of use those to to kind of make it one big equation.
02:09
All right.
02:09
So, the first thing i noticed for one big right triangle and then one small right triangle inside the bigger right triangle.
02:15
But i'm gonna focus on angle a.
02:16
Right now, this is part of the bigger right triangle.
02:19
Well, i do have to add an extra letter in here.
02:21
You don't have to put it right here.
02:22
I'm gonna call it x.
02:23
I do need that to represent um something in my equation.
02:26
Now, the space from here to here.
02:29
Um we're gonna do represent this is d plus x.
02:32
Right here.
02:35
So let's say and start writing some of equation here.
02:37
So for the bigger right? trying to where i have the air right here, we're actually used tinder because h across from angle eight would be h.
02:42
That's opposite um the whole entire bottom space.
02:46
So they just inside would be d.
02:47
Plus um uh x.
02:50
And then i will use a different question for be right.
02:53
So let's start with angle a.
02:54
Right here.
02:56
Or do tangent of angle a.
02:58
And again we're using tan because the opposite over adjacent.
03:01
Um we're gonna use h.
03:03
Over d.
03:04
Plus x.
03:06
Okay.
03:06
For the b.
03:07
Which is a small right triangle where symptoms can do tangent.
03:09
Still tangent of angle b equals h.
03:12
Over x.
03:13
Again still opposite over adjacent but just a different letters.
03:17
Okay.
03:19
Alright, the next thing i want to do is for the b.
03:22
P.
03:22
S.
03:22
Right here.
03:22
I want to solve it for x.
03:24
So much.
03:24
You have to send it to that into the other equation...