Asked by Millie
The summit of a mountain, 2075 m above base camp, is measured on a map to be 4585 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 x, y, and z?
Answers
Answered by
Steve
They are distances east, north, and up.
Oh, you mean the (x,y,z) coordinates of the mountain summit?
We know z = 2075. (letting the base camp be at (0,0,0))
Now it's just a 2-d problem.
x = 4585 cos 122.4 = -4478
y = 4585 sin 122.4 = 3871
(x,y,z) = (-4478,3871,2075)
For extra points: how far is it directly from base camp to the summit?
Oh, you mean the (x,y,z) coordinates of the mountain summit?
We know z = 2075. (letting the base camp be at (0,0,0))
Now it's just a 2-d problem.
x = 4585 cos 122.4 = -4478
y = 4585 sin 122.4 = 3871
(x,y,z) = (-4478,3871,2075)
For extra points: how far is it directly from base camp to the summit?
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