Answers

2015-01-30T11:28:18+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the control tower be at the origin.
Assume north to be +y direction
              east to be +x direction
          upward to be +z direction
The aircraft is 10 km west(x = -10km) and 15 km north(y = +15km) and 4000m above the ground(z = +4000m = +4km).
So the coordinate of the aircraft is (-10,15,4).

Distance\ from\ control\ tower\ or\ origin =  \sqrt{(-10)^2+15^2+4^2}\ km \\distance= \sqrt{100+225+16}\ km \\distance = \sqrt{341}\ km \\ distance=\boxed{18.47\ km}
0