Maths - Finding Bearings - Free Educational videos for Students in K-12

Maths - Finding Bearings - By tecmath

Transcript


00:0-1	Good day , Welcome to Tech Mouth Channel . Just
00:01	a quick video looking at Barings . Okay , so
00:03	bearings is a way of describing uh , one point
00:06	from another point . Okay , directions from a particular
00:09	point . So you're probably well aware of this type
00:11	of way of doing this Northeast , southwest . We're
00:15	going to be looking at ways of doing this using
00:17	numbers . Okay , so the two ways we're gonna
00:19	be having a look at is we are going to
00:21	be having a look at true bearings , which is
00:24	a pretty much counting from north in a clockwise direction
00:27	around . So we get to the point we're facing
00:29	and we're going to have a look at conventional bearings
00:32	, which is a little bit of a tweak .
00:33	We start with our north or south and then see
00:36	how many degrees . We need to move either to
00:38	the east or the west , so we'll have a
00:41	look at these . These are too hard . We'll
00:43	do this by having a look at a few examples
00:45	. So let's just start off looking at this particular
00:47	example here um To say we were pointing in this
00:51	direction , their first off , I guess it's pretty
00:54	important to know what are the degrees that we're talking
00:57	about ? So north is starting at 0° East ,
01:01	goes around to 90° South is looking at 180° West
01:08	is looking at 270°, , and We always go around
01:12	to 360°, , once again 360° in a circle .
01:17	So true bearings what these do is they're pretty much
01:20	going to have a look where we start facing north
01:23	and counting the number of degrees through which we turn
01:26	to get to our point here in a clockwise direction
01:30	. Okay , so starting at north , we would
01:32	have to turn to how many degrees you would go
01:35	around all the way here , and you can look
01:37	at this and you can measure this out and you
01:39	might say okay , say we knew this particular angle
01:42	here was ah 30 degrees . What would the true
01:48	bearing B . So I'm gonna make this a little
01:50	bit tricky to start . We could have a compass
01:52	that you can measure that and you can work that
01:53	out . Just starting with zero there . But we're
01:55	gonna do this a little bit differently . How would
01:57	you work this out ? You go okay well Because
02:00	there's 90° in this particular angle here , we would
02:03	know that this little part here was going to be
02:05	60°. . So how far we've gone for our true
02:09	bearing here , we've gone from zero , we've counted
02:12	90 and then we've got another 60 degrees . So
02:14	we've gone 90 by 60 we'll go 150 degrees .
02:19	True for conventional bearings this is a little bit different
02:25	. What we do is we start with the following
02:27	, we start either looking , we're facing north or
02:30	south . Okay . Whichever one is appropriate . And
02:33	this case you go okay , we're facing more south
02:35	and that's going to be our first part we put
02:36	down . And then what we do is we count
02:39	the number of degrees that we turn east or west
02:42	until we get to the point where citing . So
02:44	this in this case we're starting with south and we're
02:46	going to count around 30 degrees . Do we get
02:49	to this particular point here ? So south we've moved
02:52	around 30 degrees to the east and that's the way
02:56	you write a conventional bearing down ? Not too bad
03:00	. Right let's go through another example . Okay ,
03:02	what about this one ? So we're going to start
03:04	working at the true bearing first . So what do
03:06	we do ? We're going to see from north ,
03:09	how far we have to count around in a clockwise
03:12	direction to get to our particular point we're facing is
03:15	at this particular full angle here . Now obviously you
03:19	can get out and measure that if you had a
03:21	protractor , but we're going to do it using a
03:24	bit of a logic . So once again we have
03:28	this 90 degree angle here , so we could work
03:30	out this angle here , which is going to be
03:33	how much angles goes to 90 degrees , We go
03:36	90 take away 31 we could say , okay ,
03:39	that this is 59 degrees , so how far entitled
03:43	? We go on . We started at zero ,
03:45	we've moved around 180°, , that's his part here .
03:49	And then we moved an extra 59°. . So 180
03:54	plus 59 we have moved in total 239 Degrees .
04:01	That's the true bearing . What about conventional bearings ?
04:06	So we're facing in a more south direction . South
04:10	we've moved 59° as we've already worked out 59° and
04:16	we've moved in a westerly direction . There you go
04:19	. That's a conventional bearing . What about one more
04:22	that you work out yourself ? Okay . What about
04:24	this particular example ? Give it a go . We'll
04:27	get the true bearing work at the conventional bearing .
04:30	All right , we'll see how you went . So
04:32	we start with north we're going to see how many
04:35	degrees we have to count around to get all the
04:37	way through to here . Now this is fairly simply
04:40	going to say okay we got 90 degrees , we've
04:42	moved to get to the east here and then we've
04:44	moved another 15 degrees , so 90 plus 15 in
04:49	total the true bearing is going to be 90 plus
04:51	15 which is 100 and five degrees . True .
04:56	What's the conventional bearing ? Once again we were actually
04:59	facing predominantly south here so we're gonna start with the
05:02	south and then we have moved off to the east
05:05	this many degrees so I can put the east there
05:07	. But how many degrees we got here ? We're
05:10	going to look at this new and say okay we
05:11	have 90 degrees here so we actually go 90 Take
05:16	away 15 , we're going to get whatever this angle
05:18	is left here and it's going to be having a
05:20	degrees . We've had to move through so 90 take
05:23	away 15 is going to be 75°. . This is
05:27	south 75° based . Alright , last example , OK
05:35	give this one a go . All right for the
05:37	true bearing , what are we going to get ?
05:39	You could look at this straight away and you can
05:40	say , okay , we're gonna count all the way
05:42	around here so we can start here and we're gonna
05:45	count around all the way to this year . Yeah
05:50	, look 09182 70 and then we go an extra
05:56	20 degrees , so to 70 plus 20 is 290
06:02	degrees . True conventional bearings . Alright . We're starting
06:07	with north here , we're facing the more north direction
06:09	. Put the north end , we've got a different
06:11	color or like the blue color . They were going
06:12	to go north and we're moving in a westerly direction
06:17	. So we're gonna have a west over here .
06:18	How far we've gone ? Well , We know this
06:21	is 90°90 take away . 20 . This is gonna
06:25	be 70 degrees , So this is north 70 degrees
06:29	west . Anyway , I told you that it's gonna
06:31	be a fairly quick video . Hopefully you liked it
06:33	. If you did like , I say , don't
06:36	forget to punch that . Like button punch it really
06:38	hard . All right . Ah And don't forget to
06:41	subscribe anyway . Thanks for watching . See you next
06:44	time . Bye .

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