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R= the square root of x^2 + y^2

1. The problem statement, all variables and given/known data
This problem is #17 in Chapter 3 of Giancoli's 5th Edition Physics.

The summit of a mountain, 2085 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.4 degrees west of north, What are the x, y, and z components of the displacement vector from camp to summit? What is the length? Choose the x axis east, y axis north, and z axis up.


2. Relevant equations

R= the square root of x^2 + y^2



3. The attempt at a solution
 
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The angle refers to that between the z and x axis. The hypotenuse of the triangle made between these two is 4580. You then have the means of calculating the x and z displacements. Sin(32.4) X 4580 is the x displacement. Cos(32.4) X 4580 is the z displacement. Don't forget to make the x vector negative as you are traveling west, and positive is east. Intro physics is all about triangles and separating a magnitude (hypotenuse) into its vector components.
 

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