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[TowerTalk] Elementary question - trig formula

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Subject: [TowerTalk] Elementary question - trig formula
From: (Bill Aycock)
Date: Thu, 25 Jun 1998 14:19:15 -0500
At 03:12 PM 6/25/98 -0400, you wrote:

Pete- it doesn't take trig- it's a matter of simple proportions

B/(C+D)=?/C-- simpler- the ratio of the base spread to the total height is
the same as the ratio of the spread at any height to the distance down from
the top.


>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
>                                        / I
>                                       /  I C
>                                      /   I
>                                     /----I
>                                    /  ?  I     
>                                   /      I D
>                                  /       I
>                            -----/----B---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

Bill Aycock   ---   Persimmon Hill 
 Woodville, Alabama, US 35776
 (in the N.E. corner of the State)
      W4BSG   --   Grid EM64vr

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