Originally Posted by

**earboth** Hello,

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 81° over the horizon. Then you get the shortest shadow:

$\displaystyle s=1.2 m \cdot \cot(81^\circ) \approx 19 cm$

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 27° (at 36°N, of course!). That means the shortest shadow will have a length of

$\displaystyle s=1.2 m \cdot \cot(27^\circ) \approx 2.36 m$

I hope these informations are of some use to you.

Greetings

EB