A tracking station lies at the origin of a
coordinate system with the x-axis due east,
the y-axis due north and the z-axis vertically
upwards. Two aircraft have coordinates
(20,25,11) and (26,31,12) relative to the
tracking station.
a Find the distance between the two
aircraft at this time.
b The radar at the tracking station has a
range of 40 km. Determine whether it
will be able to detect both aircraft.![]()
coordinate system with the x-axis due east,
the y-axis due north and the z-axis vertically
upwards. Two aircraft have coordinates
(20,25,11) and (26,31,12) relative to the
tracking station.
a Find the distance between the two
aircraft at this time.
b The radar at the tracking station has a
range of 40 km. Determine whether it
will be able to detect both aircraft.
Jawaban:
a. dist = √[(26-20)²+(31-25)²+(12-11)²]
= √(36+36+1)
= √73
b. dist 1st aircraft from O
= √(20²+25²+11²)
= √1146
≈ 34 km
34 < 40 ==> within radar
dist 2nd aircraft from O
= √(26²+31²+12²)
= √1781
≈ 42 km
42 > 40 ==> outside radar
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