Elevation = sin-1(sin(lat)*sin(dec)+cos(lat)*cos(dec)*cos(15*hour))
where:
lat = latitude on earth
dec = declination of sun
hour = delta hour from noon (i.e. noon =0)
What’s that spell?
Elevation of the sun above the horizon!!!
So at 10 AM on June 21st at my house, the sun would be:
sin-1(sin(39)*sin(23.5)+cos(39)*cos(23.5)*cos(15*2))
= sin-1(.629*.399+.777*.917*.866) = sin-1(.868) = 60.2 degrees above the horizon
Wow!