If the altitude of the North Star is 30º above the horizon, then above what declination will stars never set: + degrees
Question
If the altitude of the North Star is 30º above the horizon, then above what declination will stars never set: + degrees
Solution
The declination of stars that never set, also known as circumpolar stars, can be determined by the formula 90º - |latitude|.
The altitude of the North Star (Polaris) above the horizon is approximately equal to the observer's latitude. In this case, the altitude of the North Star is given as 30º, so we can infer that the observer's latitude is also 30º.
Substituting this into the formula gives: 90º - |30º| = 60º.
Therefore, stars above a declination of +60º will never set for an observer at a latitude of 30º.
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