Yep. Similar triangles...it's just a simple proportion...no trig needed.
B/(C+D) = ?/C or,
? = C x B/(C+D)
Example: If you have a 100' tower (C+D), and the guys are out 60' (B),
the distance out from the tower (?) at 50 feet DOWN (C) is
50' x 60'/100' = 30'
Makes sense, huh? Just make sure you use the distance from the top down,
not the height of the (?). (Or redo the equation)
Pete Smith wrote:
> At the risk of getting into the dumb question territory:
> If you know how far from the base of your tower your guys attach (on flat
> ground), and you know how high they attach to the tower, then you should be
> able readily to calculate how much turning radius inside the guys would
> exist at any given height on the tower. Obviously, this would be useful
> for assessing a potential stack design.
> / I
> / I C
> / I
> / ? I
> / I D
> / I
> That is, if you know the lengths of B and C+D, then you ought to be able to
> figure out what "?" is for any length of C.
> Unfortunately, I've forgotten virtually all the plane geometry and trig
> formulas I ever learned, and I didn't keep any high school math books. I
> think the two triangles involved are called "similar triangles," but that's
> as far as my memory goes. Can anyone tell me offhand what the right
> formula is for this? Once I have the fomula I can do the calculations, but
> what to calculate?
> 73, Pete Smith N4ZR
> In wild, wonderful, fairly rare WEST Virginia
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