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This is the coordinate system transformation taken from Peter
Duffet-Smith's book Practical Astronomy with your Calculator. To go
from equatorial to horizon coordinates:
sinA = sinD sinL + cosD cosL cosh
cosB = (sinD - sinL sinA)/(cosL cosA
This gives you both solar altitude and solar azimuth (I think I
translated from Duffet-Smith's notation correctly)
Paul J. Camp
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sinA = sinLsinD + cosLcosDcosh
where L = latitude of observer
D = solar declination
h = solar hour angle = (t-12) x pi/12 (in radians)
and t = mean solar time in hours.
(1) B = -arcsin(-cosDsinh/cosA)