Question

What is the distance between `(0, 0, 8)` and `(6, 8, 2)`?

Answer 1

The distance between the points is `sqrt(136)` or `11.66` rounded to the nearest hundredth

Explanation:

The formula for calculating the distance between two points is:

`d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(green)(z_2) - color(green)(z_1))^2)`

Substituting the values from the points in the problem and calculating for `d` gives:

`d = sqrt((color(red)(6) - color(blue)(0))^2 + (color(red)(8) - color(blue)(0))^2 + (color(green)(2) - color(green)(8))^2)`

`d = sqrt((6)^2 + (8)^2 + (-6)^2)`

`d = sqrt(36 + 64 + 36)`

`d = sqrt(136) = 11.66` rounded to the nearest hundredth