Calculating Position of Summit on a Map

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To calculate the position of the mountain summit on a map, the x, y, and z components of the displacement vector from base camp must be determined. The summit is 2086 m above the camp and 4568 m away horizontally at an angle of 32.4° west of north. The z-coordinate is straightforward as it is given, while the x and y coordinates require breaking down the horizontal displacement into components using trigonometric functions. Understanding the relationship between the three-dimensional coordinate system and the x-y plane is crucial for visualizing the problem. Properly defining the coordinates will help in accurately calculating the summit's position.
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Sorry to have posted this twice, but I didn't realize there is a special homework help section until after I'd posted in another part of the board.

Anyway, any guidance in how to draw the diagram for the following problem would be greatly appreciated. I'm not sure about the position of the Z axis, etc.

The summit of a mountain, 2086 m above base camp, is measured on a map to be 4568 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 x, y, and z components of the displacement vector from camp to summit?
What is its length?
 
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The problem tells you how to define the coordinate system. Take the coordinates of the camp as 0,0,0; now you just have to find the coordinates of the summit. Hints: The z-coordinate of the summit is given; to get the x & y coordinates you need to find the components of the horizontal displacement.
 
ok thank you, it's just that my teacher never showed us what the third plane looks like, so I was confused as to how it relates to the x and y planes on a grid. thanks again.
 
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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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