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Q: If its is possible to bring the observer directly over the equator and facing the north pole at such a distance that he can see the whole earth how would the meridians appear?
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What is the angle of declination and how do you use it?

An angle of declination is relevant when an observer is at a higher altitude than the object being observed. It is the angle made by the line of sight with the horizontal. Suppose this is angle x. Then if the altitude of the observer is known to be h, then line-of-sight distance to the object is h*sin(x). The object is h*tan(x) from the point below the observer at the level of the object.Conversely, if the line-of-sight distance from the object to the observer or the horizontal distance to the point directly below the observer is known, it is possible to calculate the height of the observer.


What is the distance between (-54) (-36)?

First of all, a meridian can be drawn at any longitude, there's no standard set of them, and there are actually an infinite number of possible different ones. So in order to get anywhere with this question, you'd have to specify which two of them you're interested in. But even if you named two meridians, there's no single answer to the question, because the distance between any pair of meridians changes. They're farthest apart where they cross the equator, and ALL meridians come together at a single point at the north and south poles. The distance in one degree of longitude is about 69 miles on the equator, and it shrinks smoothly to zero at the poles. The distance between any two meridians is (69 miles) x (degrees of longitude between them) x (cosine of the latitude where you measure it).


Why does the distance between meridians decrease as they approach the poles?

If you draw circles around the Earth horizontally, the circles at the top and the bottom are going to have a smaller radius. But there are still the same number of meridians passing through each and every one of those circles. Logically it follows that in order for that scenario to be possible, they must get closer together at the poles of the planet. They all come together at the poles.


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