Question

Little help guys? Find the distance from the point (3, 6, 8) to the origin.
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

Answer 1

Answer:  Approximately 10.44 units

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Work Shown

The two points are $(x_1,y_1,z_1) = (0,0,0)$ and $(x_2,y_2,z_2) = (3,6,8)$

Use the 3D version of the distance formula to get the following:

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}\\\\d = \sqrt{(0-3)^2+(0-6)^2+(0-8)^2}\\\\d = \sqrt{(-3)^2+(-6)^2+(-8)^2}\\\\d = \sqrt{9+36+64}\\\\d = \sqrt{109}\\\\d \approx 10.4403065\\\\d \approx 10.44$

You'll need your calculator for the second to last step.