A real calculation of the length of shadow is non-trivial and is in the domain of celestial navigation. See here for calculators for educational purposes.
How does one calculate the lenth of a shadow at any given time
lets say my latitute is 36 degrees.
And the height of the object is 1.2 meteres
also how do i claculate when the length of the shadow is the same as the height thats is 1.2 meters
Hello,Originally Posted by romed
I can give you only a few informations:
1. When the sun is perpendicular over the tropic it has it's maximum altitude over the horizon at 12 o'clock local time . At a latitude of 36°N the maximum altitude of the sun is approximately 77.5° over the horizon. Then you get the shortest shadow:
The longest shadow you get when the sun touches the horizon: The shadow has an infinite length.
2. When the shadow is as long as the stick itself, then the sun has a altitude of 45° over the horizon. This situation will happen twice a day in the summer.
In winter the maximum altitude of the sun reaches only approximately 30.5° (at 36°N, of course!). That means the shortest shadow will have a length of
I hope these informations are of some use to you.
Hello,Originally Posted by JakeD
you are right. Instead of 23.5° I took 27°. I can only guess why I use this number: The polar circle has a latitude of nearly 67° (and I'm living nearer to the polar circle than to the 36°N regions) and so I mixed up those ciphers. So sorry!