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==Angles in geography and astronomy== In [[geography]], the location of any point on the Earth can be identified using a ''[[geographic coordinate system]]''. This system specifies the [[latitude]] and [[longitude]] of any location in terms of angles subtended at the center of the Earth, using the [[equator]] and (usually) the [[Greenwich meridian]] as references. In [[astronomy]], a given point on the [[celestial sphere]] (that is, the apparent position of an astronomical object) can be identified using any of several ''[[astronomical coordinate systems]]'', where the references vary according to the particular system. Astronomers measure the ''[[angular separation]]'' of two [[star]]s by imagining two lines through the center of the [[Earth]], each intersecting one of the stars. The angle between those lines and the angular separation between the two stars can be measured. In both geography and astronomy, a sighting direction can be specified in terms of a [[vertical angle]] such as [[altitude angle|altitude]] /[[elevation angle|elevation]] with respect to the [[horizon]] as well as the [[azimuth]] with respect to [[north]]. Astronomers also measure objects' ''apparent size'' as an [[angular diameter]]. For example, the [[full moon]] has an angular diameter of approximately 0.5° when viewed from Earth. One could say, "The Moon's diameter subtends an angle of half a degree." The [[small-angle formula]] can convert such an angular measurement into a distance/size ratio. Other astronomical approximations include: * 0.5° is the approximate diameter of the [[Sun]] and of the [[Moon]] as viewed from Earth. * 1° is the approximate width of the [[little finger]] at arm's length. * 10° is the approximate width of a closed fist at arm's length. * 20° is the approximate width of a handspan at arm's length. These measurements depend on the individual subject, and the above should be treated as rough [[rule of thumb]] approximations only. In astronomy, [[right ascension]] and [[declination]] are usually measured in angular units, expressed in terms of time, based on a 24-hour day. {|class="wikitable" |- ! Unit !! [[Sexagesimal|Symbol]] !! Degrees !! Radians !! Turns !! Other |- ! Hour | h || 15° || {{frac|{{pi}}|12}} rad || {{frac|1|24}} turn || |- ! Minute | m || 0°15′ || {{frac|{{pi}}|720}} rad ||{{frac|1|1,440}} turn || {{frac|1|60}} hour |- ! Second | s || 0°0′15″ || {{frac|{{pi}}|43200}} rad || {{frac|1|86,400}} turn || {{frac|1|60}} minute |}
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