plotting of altitude angel.

To plot the altitude angle:
Identify the date and time for which you need the altitude.
Find the sun's declination angle for the date (from solar tables or calculators).
Use the formula:
Altitude=arcsin⁡(sin⁡(latitude)⋅sin⁡(declination)+cos⁡(latitude)⋅cos⁡(declination)⋅cos⁡(hour angle))Altitude=arcsin(sin(latitude)⋅sin(declination)+cos(latitude)⋅cos(declination)⋅cos(hour angle))
Plot this angle on the sunpath diagram's vertical axis, corresponding to the time's azimuth on the horizontal axis. This provides the sun's position in the sky.
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