An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 800 m, horizontal distance 19.2 km, and 25.0° south of west. The second aircraft is at altitude 1 100 m, horizontal distance 17.6 km, and 20.0° south of west. What is the distance between the two aircraft? (Place the x axis west, the y axis south, and the z axis vertical.)
The position vector from the ground under the controller of the first airplane is
The second is at
Now the displacement from the first plane to the second is
with magnitude
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Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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