At any given northern latitude, the sky can be divided
into three regions:
The declinations involved can be determined with
the aid of the diagram below.
The horizontal line represents your horizon. The
semicircle represents the dome of your sky. The vertical line
is the direction to your zenith. If you are at 42 degrees north
latitude, the angle from a point due north, on your horizon, to
the north celestial pole (NCP) is same as your latitude, 42 degrees.
Since the angle from a point on your horizon to your zenith is
90 degrees, the angle from the NCP to your zenith must be 48 degrees.
Since the angle from the NCP to the celestial equator is 90 degrees,
the angle from your zenith to the celestial equator must be 42
degrees. Since the angle from your zenith to a point on your south
horizon is 90 degrees, the angle from the celestial equator to
your south horizon must be 48 degrees.
Since the declination of the NCP is 90 degrees, the
declination of a point due north of you, on the horizon must be
48 degrees (See diagram: 90 - 42 = 48). The declination of your
zenith must be 42 degrees (See diagram: 90 - 48 = 42). Since the
declination of the celestial equator is 0 degrees, the declination
of a point due south of you, on the horizon, must be -48 degrees
(See diagram: 0 - 48 = -48).