The summit of a mountain, 2550 above base camp, is measured on a map to be 4880 horizontally from the camp in a direction 35.4 west of north. Choose the axis east, axis north, and axis up.
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To choose the x, y, and z axes, we need to consider the given information.
The summit of the mountain is measured on a map to be 4880 horizontally from the camp in a direction 35.4° west of north. This means that the summit is 4880 meters away from the base camp in a direction that is 35.4° to the west of the north.
To choose the axes, we typically consider the x-axis as east, the y-axis as north, and the z-axis as up.
In this case, we can assign the x-axis as east because it is perpendicular to the direction of north.
Next, we can assign the y-axis as north because it aligns with the given direction.
Finally, the z-axis can be assigned as up since it is perpendicular to the plane formed by the x-axis and y-axis.
So, considering the information provided, we can choose the x-axis as east, the y-axis as north, and the z-axis as up.