00:01
You are flying from joint base lewis mccord.
00:04
Let's put a point right there to an on -disclosed location that is 93 kilometers south.
00:17
Let's say right there and 192 kilometers east.
00:24
That should be, i guess, more than double.
00:30
Okay, so let's see maybe right here would be fine.
00:36
And this is the on -disclosed location.
00:39
So we write ul.
00:45
Mount rainer is located approximately 56 kilometers east.
00:54
So if this is almost 200, so 56 should be just, i guess about a quarter of that.
01:09
Okay, so maybe here and 40 kilometers south of the origin.
01:18
So let's say this is 40 is going to be almost half, just shy of half of 93.
01:31
So 40 might be say somewhere around here.
01:35
So there's 90.
01:38
Yep, there you go.
01:40
So 56 and say 40.
01:44
So it's maybe around somewhere there.
01:48
Of course this is not accurate but it's just sketches.
01:57
So if you are flying at a constant speed of 800 kilometers per hour, how long after you depart from the joint base lewis mccord will you be closest to this location? again, this is mount rainer.
02:22
I forgot to write a label for it, so it's going to be mr.
02:29
So again, how long after you depart from the origin would you be closest to mount rainer? and where to find that answer in units of minutes.
02:48
So if we're assuming that we are flying from the origin to this, destination in a straight path.
03:03
The question is axon, where, or it's actually axon how long after you depart would you be closest to mount rainer? the question is axon us essentially to find where will be closest to the mount rainer and determine how long since we departed from the origin to get to that place.
03:40
There's a couple ways to solve this that comes to my mind.
03:46
First way is to use the trigonometry and geometry method.
03:54
Another way would be to use a equation of lines and in that way you would find an intersection point and you would you know find the parameters from there.
04:15
One more way is to graph this, actually do the real graphing.
04:25
To sketch this, of course, to scale.
04:29
And you would use that scale to make measurements and estimate certain distances.
04:40
Or the distance in question and will calculate the time base of this given speed.
04:54
And i know that sounds a bit convoluted.
04:57
So i'll just go straight to say what we're going to do is to perhaps use the trigonometry and geometry method.
05:07
First, let's consider something.
05:08
If we drew a line, a straight line from mount rainer to the origin, and let's actually draw another line from montreiner to the destination.
05:32
And let's say we drew one line from mount rainer to some point along the path.
05:44
Right? i'm going to draw that better.
05:46
From mount rainer to some point along the path.
05:50
See this? you would have perhaps a shorter line than from mount rainer straight to jblm.
06:01
We draw another line, i guess, here.
06:06
This will be a shorter line than this one.
06:09
Let's say we draw a line here perpendicular.
06:14
This line would be even shorter to the path than the previous lines.
06:24
If we drew another line here, this might be longer than this one.
06:30
And as we go along, this gets longer and longer.
06:37
Okay? and before that first line, we would have an even longer line.
06:45
The point i'm trying to make here is that the shortest line seems to be the line that is perpendicular to the path from the origin.
06:57
To the destination.
07:02
And so it's just this line here.
07:05
Therefore, the closest point along this path to mount rainer would be this very point, where you have this perpendicular line.
07:21
So i'm going to clean this up.
07:23
I'm going to take out these other guys.
07:28
And i'll leave that one there.
07:30
Next, i want you to see that since we have sketched this perpendicular line, line, what we get now would be two right angled triangles and would have also that we could form this or the right angle triangles just with the distances.
07:57
All right, where here would be, we had found this to be 56, because it was 56 kilometers east and here was 40 kilometers.
08:13
South, so just 40 units there.
08:17
We'd have this other right angle, triangle based on the distances again...