Calculate Displacement Vector from Camp to Summit - 2079m

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To calculate the displacement vector from the base camp to the summit at 2079 m elevation, the horizontal distance is 4577 m at an angle of 32.4° west of north. The components of the displacement vector can be determined using trigonometric functions based on the chosen coordinate system, where the x-axis is east, the y-axis is north, and the z-axis is vertical. The magnitude of the displacement vector combines these components using the Pythagorean theorem. Participants are encouraged to show their work and diagrams to facilitate assistance with the calculations. Providing initial calculations and clarifying the coordinate system will help in resolving the problem effectively.
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The summit of a mountain, 2079 m above base camp, is measured on a map to be 4577 m horizontally from the camp in a direction 32.4° west of north. Choose the x-axis east, y-axis north, and z axis up. What are the components of the displacement vector from camp to summit?

x= ? m
y= ? m
z= ? m

What is the magnitude?
? meters

Thanks if u r helping me out!
 
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from my replies to your first and second question threads:

berkeman said:
Welcome to PF, vihits. As the rules say when you signed up just now, you must show your work up to now on these problems. We do not do your homework for you. We *do* help you when your are stuck on some concept, or making an error that we can spot.

So, can you show your work so far?

Like, what does your diagram look like? What did you choose for the direction of your x-axis?
 

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