Answer :
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
