SOLUTION: A Christmas tree is supported by a wire that is 1 foot longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 49 feet short

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Question 109636This question is from textbook
: A Christmas tree is supported by a wire that is 1 foot longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 49 feet shorter than the height of the tree. What is the height of the tree? This question is from textbook

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
h^2+(h-49)^2=(h+1)2
h^2+h^2-98h+2401=h^2+2h+1
2h^2-h^2-98h-2h+2401-1=0
h^2-100h+2400=0
(h-60)(h-40)=0
h=60 answer for the height of the tree.
proof.
60^2+(60-49)^2=(60+1)^2
3600+11^2=61^2
3600+121=3721
3721=3721.