# Is there a Shade cast equation?

michigoose(Z5OH)June 28, 2005

I am sort of reluctant to post this here, as I realize that I am asking for advice from professionals...and the ultimate answer would be "hire a designer to do it for you," however, at present, this is out of my budget, and for the most part I enjoy designing my own landscape plans....however....

I have a pool on the south side of my property....which is 3/4 of an acre, so I have plenty of room to play...but in picking out my trees, I want to make sure that mature tree height/placement doesn't cause problems with the sun on the pool.

I asked this in the landscape forum and haven't really gotten an answer (the shortest shadow is cast at mid day doesn't really help).

I was wondering, is there a formula for determining the length of shadow and how the shad will be cast at different times of year? I've looked in my several volumes on landscape design, and it doesn't seem to cover this aspect, and I was hoping you could help. I know I could try to rig up a pole of the same length, but 15 - 20 is more than I could handle easily I think....and the question is also where would I get a 20 foot pole? Thanks in advance.

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calliope(6)

I remember studying about how to determine a tree's height, given the sun's angle and the length of shadow it casts. I did a quick google and you should be able to figure it out with a little algebra and ratio and proportion.

"One of the simplest ways to measure a tree's height requires a sunny day. Pound a stick or dowel into the ground. Measure the length of the stick above the ground, then measure its shadow. (For example, the stick might be 3 feet tall; its shadow might be 2 feet long.) Now you know that a 3-foot stick casts a 2-foot shadow. Measure the shadow cast by the tree. If the tree's shadow is 10 feet long, you can use a little algebra to figure out the height of the tree: If 2/3 = 10/x, then 2x =10 X 3 or 2x = 30, so x = 15; the tree is approximately 15 feet high."

June 28, 2005 at 3:17PM
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