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Finding position vectors of x y z in meters

  1. Feb 8, 2013 #1
    Air traffic controllers usually describe the position of an aircraft relative to the airport by altitude horizontal distance and bearing . suppose an air craft altitude 1450 m , distance 24 km , and bearing 18.0 degrees east of north. what are the x,y,z components in meters of the position vector? the x axis is east the y axis is north and the z axis is vertical.


    I cannot seem to find the value for x

    but I have solved for
    y= 22550 m
    z=1450 m
     
  2. jcsd
  3. Feb 8, 2013 #2

    tms

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    How did you get you y coordinate? If you know y and the distance, how would you find x?
     
  4. Feb 8, 2013 #3
    I found y by subtracting 24000m by 1450m
     
  5. Feb 8, 2013 #4

    tms

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    Why do that? 1450 m is the altitude, the z coordinate. It is independent of the horizontal position. Draw a diagram of the x-y plane.
     
  6. Feb 9, 2013 #5
    is this suppose to make a a triangle? i tried the pythagorean theorem but it dosent seem to work.
     
  7. Feb 9, 2013 #6

    tms

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    Did you draw the diagram?

    You have a vector in the x-y plane with a specified length and direction. You want to find out the x and y coordinates. How do you do that?
     
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