Asked by James
An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 750 m, horizontal distance 19.8 km, and 23.0° south of west. The second aircraft is at altitude 1300 m, horizontal distance 17.8 km, and 18.0° 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.)
Answers
Answered by
bobpursley
letting the origin be the center of the radar, then positions are
First: Change the ranges to distances along the axis given. Then, having two positions in the form of (xxxx,yyyy,zzzz)
you use the distance equation
distance= sqrt [(xxxx1-xxxx2)^2+ (yyyy1-yyyy2)^2 + (zzzz1-zzzz2))
remember to keep all numbers in the same units, either km, or meters.
First: Change the ranges to distances along the axis given. Then, having two positions in the form of (xxxx,yyyy,zzzz)
you use the distance equation
distance= sqrt [(xxxx1-xxxx2)^2+ (yyyy1-yyyy2)^2 + (zzzz1-zzzz2))
remember to keep all numbers in the same units, either km, or meters.
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