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True Bearings and Trigonometry 

mathswithbob
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A boats sails on a true bearing of 140 for 40km, then changes to bearing of 250 for 80 km. Find distance and bearings from home.

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26 мар 2014

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Комментарии : 68   
@ishaanarora8920
@ishaanarora8920 4 года назад
did not understand a single thing thanks man
@finnaddict
@finnaddict 2 года назад
Thank you, that was very good. Though, for part c), since you'd already figured out that alpha = 80 degrees, you could have bypassed using the cosine rule, and recognised that the internal angles of a triangle = 180 degrees. From there, we have 180 - 80 - 70 = 30 degrees. That said, I really appreciated your instruction, I was never taught true bearings and found it a bit confusing, so thank you for clearing that up for me.
@Zahierwillams
@Zahierwillams 6 лет назад
I kinda getting it but u are skipping out on some steps and your voice going low when explaining at some point like u don't want to talk up..... explain a lil better. Not getting it
@mohamedjuldehbarrie8189
@mohamedjuldehbarrie8189 2 года назад
Thanks again for improving my trig. Concept on bearings.
@niranjalapriyadarshani6832
@niranjalapriyadarshani6832 3 года назад
Thank you for teaching I really understood this..
@vinceajpanganiban7742
@vinceajpanganiban7742 4 года назад
To find the last angle just subtract 180 degrees by the sum of 70 degrees and 220 degrees.
@joshmarieronald7964
@joshmarieronald7964 3 года назад
That was really helpful. It is crystal clear to me. Thank you so much.
@bobhayes4618
@bobhayes4618 7 лет назад
Hi Alice To find x with the 70 degrees we use the cosine rule for non right angled triangles, it looks a bit like pythagoras but has a bit on the end. hope this helps bob
@yousra134
@yousra134 7 лет назад
This is so unclear
@sanchitsingh7162
@sanchitsingh7162 9 лет назад
Dude!! 180-80-70 is all you need to do for the last angle
@prav8141
@prav8141 8 лет назад
+Sanchit Singh 180 - (360 - 220)
@prav8141
@prav8141 8 лет назад
+Speed Demo they are supplimentry
@xjayshah7319
@xjayshah7319 7 лет назад
Sanchit Singh 180-(80+70)
@johnyk7167
@johnyk7167 5 лет назад
Does that work generally for triangles or was this an exception?
@parijat8166
@parijat8166 5 лет назад
football stuffs angles in a triangle always add up to 180
@rondox9787
@rondox9787 4 года назад
I enjoyed this video, but would appreciate some more explanations, Good video though 👍
@mathswithbob
@mathswithbob 4 года назад
Hi, I will makea more fully explained video, if you could, if you have time, let me know the bits that you feel need more explanations and I will incorporate them in the new video. Many thanks Bob
@rondox9787
@rondox9787 4 года назад
mathswithbob Hi, thanks for the response. I just meant that when you were able to say ‘we can tell this angle is x degrees’, if you could explain how you can tell.
@rezstrike
@rezstrike 7 лет назад
Man last angle could be so easily calculated We have 80 in the triangle plus 50 so just add them to get 130 (second quadrant and the tiny angle we need) the total angle then u just could have subtracted the second quadrant(90) from the total to get the frickin 40
@finnaddict
@finnaddict 2 года назад
Wouldn't it have been easier to use the knowledge that the internal angles of a triangle = 180? 180 - 80 - 70 = 30 Then 90 - (30+20) = 40 But hey, let's not fight on the internet.
@mafulekapromise8728
@mafulekapromise8728 7 лет назад
wow fantasitic, I got it now
@Rs2006REMAKEVids
@Rs2006REMAKEVids 9 лет назад
For the last angle, drawing a right angle triangle and using the side length x for the hypotenuse might have been a quicker way of working out the angle. With this, you could say that sinB is equal to opposite/x. Since we know the value of x, we do xsinB, which makes it equal to opposite. Once we've found the opposite side length, we can do the inverse of sin with the values opposite/x, knowing both the values. This would be an alternative way of finding the angle, which also teaches people watching your video to be able to use that same method in another problem. Of course, the quickest way of doing it is 180 - a - 50 - 20, since all triangles add up to 180. While the way you solved it drilled it into everyone's heads through repetition, there were more useful ways to solve the last question.
@alicefreedom
@alicefreedom 7 лет назад
Hi Bob...can you explain how you can be using Pythagorus on a non-right-angle triangle? your figures clearly state the angle opposite to AC is 70 deg not 90...or am I missing something?
@laithalhayek658
@laithalhayek658 6 лет назад
The cosine rule for a non-right angle triangle is: Distance 1(squared) + Distance 2(squared) - 2 * Distance 1 * Distance 2 * COS in the middle.
@lattemacchiato5003
@lattemacchiato5003 7 лет назад
I'm lost
@OmegaRed25
@OmegaRed25 3 года назад
I was about to watch the video but I don't wanna get lost more than I already am
@deadleaves9991
@deadleaves9991 3 года назад
Ik this is late but ur not alone
@julecaesara482
@julecaesara482 9 лет назад
How do you know that these angels are 50° when having 140° and 250° as bearings?
@julecaesara482
@julecaesara482 9 лет назад
oh because from N to E is 90° and 140°-90°=50°? And because the other one is parallel it must be 50° as well?
@MadhiaT
@MadhiaT 9 лет назад
Each quadrant is 90 degrees.. :)
@julecaesara482
@julecaesara482 9 лет назад
Madhia T :-D
@brittneybrat8911
@brittneybrat8911 2 года назад
I got lost at 7:31 Could you please explain that to me?? I don't get how you got that answer.
@serozan709
@serozan709 7 лет назад
Question A. He says the calculator brings up that number but when I calculate it on a calculator it is different
@guyyk0534
@guyyk0534 3 года назад
Maybe you're on radian mode
@premanandasahu7386
@premanandasahu7386 4 года назад
Where u getting 3 point and all 50 degree
@thegreatest1176
@thegreatest1176 7 лет назад
question c is too confusing. can someone explain
@christabelekeocha7584
@christabelekeocha7584 7 лет назад
Nice one
@Dreinawaugh
@Dreinawaugh 9 лет назад
how did u arrive at that 40 at the end sir?
@prav8141
@prav8141 8 лет назад
+Dreine Sam they are supplimentry angle to B so 360 - (140 + 80)
@mountcarmel7116
@mountcarmel7116 4 года назад
Seems you are doing a family study
@SilkiMist
@SilkiMist 3 года назад
so we know that
@keatonriddle908
@keatonriddle908 7 лет назад
thnx dude
@yusufgunderson1811
@yusufgunderson1811 4 года назад
No
@shankarramesh3154
@shankarramesh3154 5 лет назад
How the hell did you get 50° In 3:01 ?
@mathswithbob
@mathswithbob 5 лет назад
Hi Shankar The first 50 comes from 140-90 at A, ( or how far past 90 do we need to go to get the bearing 140T ) Then the 50 at B is the alternate angle with parallel EW lines. Bob
@shankarramesh3154
@shankarramesh3154 5 лет назад
Ohhh I get it thanks a lot
@jikkieejikkiee49
@jikkieejikkiee49 3 года назад
Are you trying to help us or are you trying to direct us in a wrong way, I don't understand anything here
@whysoseriousdude8315
@whysoseriousdude8315 9 лет назад
I can't understand your handwriting sir
@vaibhavjadhav3081
@vaibhavjadhav3081 3 года назад
What is the dimension of x? drive.google.com/file/d/1pllUADWr_06p4XOVpLX7x_24vPczU_iM/view?usp=drivesdk
@erimeayotaire9280
@erimeayotaire9280 3 года назад
Can't hear what u r saying
@zaydali9036
@zaydali9036 4 года назад
rslash
@johnbingham6355
@johnbingham6355 6 лет назад
A fine example to put people off of maths for life.What is this T nonsense, and why not simply state S140*E etc.
@emmanuelopemipo1397
@emmanuelopemipo1397 8 лет назад
it so boring nd his voice sounds dull
@newspresentersacdemybd8786
@newspresentersacdemybd8786 3 года назад
Absolutely ridiculous! I think at first he is trying to make himself clear! Totally waste of time
@noor-ul-ainzafar6245
@noor-ul-ainzafar6245 8 лет назад
Thanks for nothing.....
@caitlinflemm7932
@caitlinflemm7932 6 лет назад
this was so unclear and very hard to follow. I'm a tad more frustrated than when I started this video. did not help me at all.
@blossombelle
@blossombelle 8 лет назад
next time use a chalkboard
@ashuwere6265
@ashuwere6265 8 лет назад
frustrated genius
@RoseAngella
@RoseAngella 4 года назад
I don’t want to be mean but I think you should take down this video and re-do it step by step by more steps identifying and stating angle rules for obtaining some of your values. It is so confusing where you get values from and why? If it wasn’t for the comments I would be absolutely lost. 🤷‍♀️
@DANIELDALLAS_MATHs
@DANIELDALLAS_MATHs 4 года назад
Hey, you may try this ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-XlkT1iZO2HI.html GCSE Maths True bearings | How to find bearing | Finding Bearings | Best Examples It might help U better
@gedeonlekane7853
@gedeonlekane7853 3 года назад
The explanation is too broad
@shamelsinha1626
@shamelsinha1626 4 года назад
unhelpful
@mathswithbob
@mathswithbob 4 года назад
Hi Shamel, With true bearing all the north directions are parallel, ( at each port draw new Norths ) this creates alternate angles ( they are equal ) with the bearing lines. There is a lot of non right angled trig involved ( cosine and sine rules ). If you have the time could you let me know which bits could be explained better to be more helpful. Thanks Bob
@michaelbrowne4525
@michaelbrowne4525 4 года назад
you obviously don't know this well enough to TEACH IT....
@jibola2892
@jibola2892 3 года назад
This was a very bad video.
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