Im wondering if I was stood at the top of the mountain (assuming I know the height) trying to find the distance between the two cars how would I calculate it? the distance I measure from myself to each car would be different from the top of the mountain than ground level
Thanks, I am 12 and I skipped a class so I am now in grade 8 and this video helped me with the possible tricky problem that will be in my math test tomorrow!
It turns out that in astronomy we don't have the benefit of knowing what the size of the object is that we are looking at, so we have to use the technique depicted in the video. Sure using the tangent is easier on paper, but not in astronomy.
@@MichelvanBiezen it works for astronomy as it works for mountaintops and buildings! We never know the size/height of it, so that's the whole point of calculating it.
![Solving Triangles w/ Law of Sines & Cosines - [2-20-10]](http://i.ytimg.com/vi/vEnsnRe4beA/mqdefault.jpg)
Excellent demonstration and wonderful bow tie! Take care :)
Thank you! Cheers!
I love this example! I'm totally going to get a compass and do this on my next road trip to show off.
Go for it!
Thank you for the help
You are welcome.
Did I miss something here? Don't all triangles have to be a total of 180 degrees? How do we 3:03 get 12, 10 , and 22 for the angles?
Are those the angles of a single triangle or angles of two different triangles?
I see now. Two different triangles.
That is correct. 🙂
Wow thanks for this, the diagram was so clear, great explanation!
Glad it was helpful!
Im wondering if I was stood at the top of the mountain (assuming I know the height) trying to find the distance between the two cars how would I calculate it? the distance I measure from myself to each car would be different from the top of the mountain than ground level
If you knew the height and the angle for each of the cars, you can find the distance to each car.
Thank you for the great demonstration!
Thank you so much Sir
Most welcome
what could he have used before finding the height of the mountain?
cosine rule or cosine ratio or sine rule or sine ratio?
How can we measure the input ie angle of elevation?
how we find height of hill ?when degree is not given only one side is given i.e hypotenuse
May i ask?..why did you minus the 10 and 22😊
Because we want the angle to the top of the mountain from the 2 vantage points
@@MichelvanBiezen ohh i see..thank you sir😊
Wow there’s a plethora of ways people could solve this problem. The beauty of math is well presented here
Very well presented keep up the great work
Hi Again, Amazin videos. May I ask where did we get 12 degrees from? Many thanks for your time.
22 degrees - 10 degrees = 12 degrees
@@MichelvanBiezen Thank you very much for your reply. I guessed that too. But I think I have to go back to the beginning to find out why. Thanks
@@zeesamuel9885 th-cam.com/video/EZ6dOlRQDBo/w-d-xo.html
Love it! Thanks
You are so welcome!
Thank you so muchh👍🏻👍🏻
You're welcome 😊
thanks for very helpful and create lesson
How did he get the 12 deg?
First find the supplementary angle 180 - 22 = 158 Then fine the angle = 180 - 158 - 10 = 12
Michel van Biezen thank you so muuuuuch
I do 22 degree minus 10 degree. That the easiest way
Thanks, I am 12 and I skipped a class so I am now in grade 8 and this video helped me with the possible tricky problem that will be in my math test tomorrow!
Complicated^ My Dear Teacher,
I prefer mine^ :
h = [sinA.sinB/sin(A-B)]. m
h = [sin22°.sin10/sin12°].m
h = 0,3128×m = 3,128mi = 16.520ft
Thank you
h=10 / (tand(90 - 10) - tand(90 - 22))
sorry but that's the kind of teacher which confuses everybody in the room by complicating the matter. Using tangent makes the equation much simpler!
It turns out that in astronomy we don't have the benefit of knowing what the size of the object is that we are looking at, so we have to use the technique depicted in the video. Sure using the tangent is easier on paper, but not in astronomy.
@@MichelvanBiezen it works for astronomy as it works for mountaintops and buildings! We never know the size/height of it, so that's the whole point of calculating it.
Doh! Mistake - he used 12 degrees instead of 22 degrees in the first part
Hi did not make a mistake, 12 degrees is correct
Doh! no he didn't... 12 degrees is correct