Jeff, 



     Yes, for reasonably straight limbs, if the measurer lines himself/herself 
up in the vertical plane that includes the limb, then shouting to the base and 
tip of the limb and getting the angle between leads directly to the application 
of the law of cosines. I'm glad that you quickly saw this. 

     We have many reasonably simple calculations that we can make to measure 
dimensions and distances for trees. Ents become stuck on the three common 
measurements of height, girth, and crown spread, but we can do so much more. 
Problem #2 will follow shortly. 

      Your calculations are correct. I rounded off to one decimal place. 



Bob 

  
----- Original Message ----- 
From: "Jeffs Email" <[email protected]> 
To: [email protected] 
Sent: Sunday, February 8, 2009 9:00:40 PM GMT -05:00 US/Canada Eastern 
Subject: [ENTS] Re: Bank of solved problems 


Bob, 

Learned something new there. I can see how Paul Jost applies this to   
determining tree height with this. I carried the decimal answer I had   
out to the third digit and ended up with 40.87 which matches up with   
the supplied answer. Assuming you stayed 'within the plane' of a limb,   
this could also be applied to limb length as well could it not? It   
would rely on your rangefinder being able to resolve only the target   
you want, but could be done, correct? 

This was my solution: 
For lack of characters on my phone, well substitute ^ for square and   
sqrt for square root. 

65^ + 70^ - 2(65 x 70)cos35 
4225 + 4900 - 7454.283 = 1670.717 
sqrt1670.717 = 40.87 

Jeff 



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