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Subject: "Bearing problem"     Previous Topic | Next Topic
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Conferences The CTK Exchange High school Topic #172
Reading Topic #172
Liliya
Member since Oct-4-01
May-21-02, 06:58 PM (EST)
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"Bearing problem"
 
   Hi,
Our math teacher doesn't explain everything to us, and today he wasn't here and on the homework there's one problem that I have no idea how to do.

Problem:
A plane flies 675 miles from A to B with a bearing of N75(degrees)E. Then it flies 540 miles from B to C with a bearing of N32E. Find the straight-line distance and bearing from C to A.

Could someone please tell me how to start doing the problem(other than drawing a picture), and then I'm pretty sure I'll get the rest.
Thanks.
-Liliya


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alexb
Charter Member
2308 posts
May-21-02, 07:06 PM (EST)
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1. "RE: Bearing problem"
In response to message #0
 
   >Could someone please tell me how to start doing the
>problem(other than drawing a picture),

What's wrong with drawing a picture? Do you mean to say that you know how to draw it?

I think all it takes is to draw the right picture.

You have a triangle ABC with A on a horizontal line. Bearing N75E must mean one of the two (you should know which; I do not have to)


  1. AB forms an angle of 75° with the horizontal line inclined East from A
  2. AB forms an angle of 75° with the vertical line through A inclined East

The rest is a little trigonometry.


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jrr7
guest
May-29-02, 02:46 PM (EST)
 
2. "RE: Bearing problem"
In response to message #0
 
   Sounds like a job for the Law of Cosines to find the distance, then the Law of Sines to find the angle.


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moo
guest
Nov-27-08, 11:32 AM (EST)
 
3. "RE: Bearing problem"
In response to message #2
 
   my maths teacher told us how to do bearings


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