Bob, If I put in the numbers for the 125' mast into your formula, (L= 6', U= 3.5', H= 125', b= 3'), the total height comes out to 303'! Jack
________________________________ From: "[email protected]" <[email protected]> To: [email protected] Sent: Fri, January 8, 2010 5:45:45 PM Subject: [ENTS] Height projection - answer to Don Bertolette's question Don, I am finally getting to a question you previously asked about the projection of the full height of a tree from a section starting near the base. If we assume a uniform rate of taper and we have a section to use to project the full height, the following formula will do it. L = diameter of lower (large) end of log U = diameter of upper (small) end of log h = length of log b = length from L to base of tree T = total projected tree height T = [ h/(L-U)]U+ h + b Example. L = 5 U = 2 h = 100 b = 3 T = [100/(5-2)]2 + 100 + 3 = 169.6 ft Remember that this formula assumes a uniform rate of taper. If the tree increases its rate of taper above the log, which would be true for old growth forms that have a paraboloid form from about 5 feet up to where the limb structure takes over, then the rate of taper can change dramatically. Bob
