3D geometry on radial coordinates?

Geometry Level pending

All angles are defined in degrees.

We represent points as ( r, θ 1 \theta_1 , θ 2 \theta_2 ).

r stands for the distance of the point away from the origin.

θ 1 \theta_1 stands for the horizontal angle away from the horizontal line going east from the origin, going clockwise. 0 θ 1 360 0 \leq \theta_1 \leq 360 .

θ 2 \theta_2 stands for the vertical angle away from the horizontal line going east from the origin, going anti-clockwise. 0 θ 2 360 0 \leq \theta_2 \leq 360 .

An example of what this means is that (4, 60, 30) translates to (3, 3 \sqrt{3} , 2) in the Cartesian coordinates.

What is the approximate distance of (8,59,70) from (5,3,79)? (to 3 significant figures)


The answer is 3.505.

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