Question

What is the distance between `(0, 0, 8)` and `(3, 4, 1)`?

Answer 1

`sqrt{74} approx 8.6`

Explanation:

By the distance formula, the distance between two points `P` and `Q` whose rectangular coordinates are `(x_{1},y_{1},_z_{1})` and `(x_{2},y_{2},z_{2})` is

`sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2+(z_{1}-z_{2})^2}`

For the problem at hand, this is

`sqrt{(3-0)^2+(4-0)^2+(1-8)^2}=sqrt{9+16+49}=sqrt{74} approx 8.6`.