# Will an observer at the pole of Saturn be able to see its rings? The radius of Saturn is 60,000 km, the length of the rings

Will an observer at the pole of Saturn be able to see its rings? The radius of Saturn is 60,000 km, the length of the rings is 5 times the radius of Saturn.

To determine if the rings are visible, you need to find the horizon distance r at the Saturn pole. We use the Pythagorean theorem r = √ (R + h) ^ 2 -R ^ 2, if you expand the brackets, we get r = √ R ^ 2 + 2Rh + h ^ 2 – R ^ 2. h is the height of the observer, let us assume that h = 2 m, R is the radius of Saturn. And then h ^ 2 can be ignored, because this is small compared to the radius of Saturn. As a result, we get r = √2Rh.
r = (2 * 60,000 * 0.002) ^ 0.5 = 15.5 (km). Saturn’s rings will not be visible from the pole, because will be over the horizon.

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