In third grade, I learned how to determine the height of the flagpole at the two room school I attended. The teacher demonstrated how to take a stick of known length, measure it's shadow, measure the shadow of the flagpole, then interpolate the known lengths and solve for the unknown. Now when I said "in third grade", I was not the kid doing the math, but every kid in that two room school was aware of what was going on and watching from the windows, and we all learned from it.
Assuming the length of the stick = 6' Assuming the shadow of the stick = 2' Assuming the shadow of the flagpole = 20' Height of the flagpole = X
6 over 2 = X over 20
therefore - 6 times 20 divided by 2 = X or 60' - the length of the flagpole
A lot of variables must be considered, such as - the shadow measurements must be taken horizontally if the ground is not level. The stick must be held plumb. You can't fool around too long measuring the shadows. Intermingled tree shadows would be difficult to seperate.
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