Select your location from the menu list, or
enter latitude in decimal degrees and press return key,
enter longitude in decimal degrees and press return key.

The latitude may also be set by clicking into the right half of the blue ring.

Press the "now" button to get the current position of the Sun.

Select from the Details menu to show or hide items.

The azimuth angle is measured eastwards of North:

0° = N, 90° = E, 180° = S, 270° = W

You may use the keys "m", "d", "h", "n" to increase the month, day, hour, or minute,
or Shift key and "n", "h", "d", "m" to decrease the month, day, hour, or minute.

The observer is located at the centre of his "celestial sphere" with zenith Z above his head and the horizon plane N-E-S-W. The Sun rises at (1), moves along the red arc, passing the meridian NZS at (2), and sets at (3). This path is called the diurnal arc of the sun.

Projecting the diurnal arc (circle of declination) of the Sun and the horizontal plane into the NZS plane, they are seen as straight lines intersecting at (1)=(3).

The diurnal arc (declination circle) of the sun varies with the seasons: 

The moment of sunrise is usually defined by the instant when the center of the sun is -0.83° below horizon (taking into account the refraction of light by the atmosphere of the earth and the apparent diameter of the Sun). For a latitude of 50° this equivalent to a time interval of 5 to 7 minutes.

As shown below the construction is in agreement with the equation known from spheric trigonometry:

(1) sin h = sin φ sin δ + cos φ cos δ cos τ

(2) cos Az = (sin δ - sin φ sin h)/(cos h cos φ)

φ = Latitude, h = Altitude, δ = Declination, τ = Local Hour Angle LHA

(1) We start computing a, the difference between the vertical lines

a = x sin (90°-φ) = x cos φ
x = r - r cos τ = r (1-cos τ)
r = R cos δ
a = R cos δ (1-cos τ) cos φ
sin (90°-φ+δ) = sin (90°-φ) cos δ + cos (90°-φ) sin δ  = cos φ cos δ +  sin φ sin δ
sin h = cos φ cos δ +  sin φ sin δ - cos δ (1-cos τ) cos φ

sin h = sin φ sin δ + cos φ cos δ cos τ

φ = Latitude, h = Altitude, δ = Declination, τ = Local Hour Angle LHA

(2) We start computing b, the difference between the vertical lines

b = R sin (90°-φ+δ) - R sin h = x tan (90°-φ)

x = a - r cos (180°-az)
cos (180°-az) = - cos az
a = R sin (φ-δ)
r = R cos h
x = R sin (φ-δ) + R cos h cos az

R sin (90°-φ+δ) - R sin h = [R sin (φ-δ) + R cos h cos az] tan (90°-φ)

sin (90°-φ+δ) - sin h = (sin (φ-δ) + cos h cos az) tan (90°-φ)

sin (90°-φ+δ) - sin h = sin (φ-δ) + cos h cos az] cos φ/sin φ

cos φ cos δ +  sin φ sin δ - sin h = [sin φ cos δ -  cos φ sin δ + cos h cos az] cos φ/sin φ

sin φ cos φ cos δ +  sin² φ sin δ - sin φ sin h = [sin φ cos δ -  cos φ sin δ + cos h cos az] cos φ

sin φ cos φ cos δ +  sin² φ sin δ - sin φ sin h = cos φ sin φ cos δ - cos² φ sin δ + cos φ cos h cos az

sin² φ sin δ - sin φ sin h =  -  cos² φ sin δ + cos φ cos h cos az

sin δ - sin φ sin h = cos φ cos h cos az

 sin δ - sin φ sin h = cos φ cos h cos az

cos Az = (sin δ - sin φ sin h)/(cos h cos φ)

Both equations (1 and 2) can also be found within the construction of my applet Quadratum Horarium Generale (Regiomontanus Dial).