I'm studying the clock angle problem. It's a simple problem, you can read the description, the analysis and the solution in 3 to 5 minutes here:
There is a detail that I don't understand, in the hour angle calculation. The formula is:
hour angle = 0.5° * (60 * H + M)
where H = hour and M = minutes
so, if we take for example 3:27:
hour angle = 0.5 * (50 * 3 + 27) = 103.5
I don't understand why we add the minutes ? Why does the angle of the hour hand depends of the minutes ? In my mind, it depends only of the distance between 12 o'clock and the hour hand.
Thank you very much for your insights