Finding position vectors of x y z in meters

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    Position Vectors
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Homework Help Overview

The discussion revolves around determining the x, y, and z components of a position vector for an aircraft based on its altitude, horizontal distance, and bearing. The context involves understanding the relationship between these components in a three-dimensional coordinate system.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to derive the x and y coordinates from the given distance and bearing, with some questioning the method used to find the y coordinate. There is also a mention of using the Pythagorean theorem and the need for a diagram to visualize the problem.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem and questioning the validity of certain approaches. Guidance has been offered regarding the independence of altitude from horizontal positioning, and the need for a diagram to clarify the x-y plane relationship.

Contextual Notes

There is a potential misunderstanding regarding the relationship between altitude and horizontal distance, as well as how to correctly apply the Pythagorean theorem in this context. The original poster's calculations and assumptions are being scrutinized.

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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
 
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How did you get you y coordinate? If you know y and the distance, how would you find x?
 
I found y by subtracting 24000m by 1450m
 
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.
 
is this suppose to make a a triangle? i tried the pythagorean theorem but it dosent seem to work.
 
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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