Finding position vectors of x y z in meters

  • Thread starter Sneakatone
  • Start date
  • #1
318
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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
 

Answers and Replies

  • #2
tms
644
17
How did you get you y coordinate? If you know y and the distance, how would you find x?
 
  • #3
318
0
I found y by subtracting 24000m by 1450m
 
  • #4
tms
644
17
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.
 
  • #5
318
0
is this suppose to make a a triangle? i tried the pythagorean theorem but it dosent seem to work.
 
  • #6
tms
644
17
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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