SOLUTION: A giant California redwood tree 36 meters tall cracked in a violent storm as if hinged. The tip of the once beautiful tree hit the ground 24 meters from the base. Researcher Red Wo

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A giant California redwood tree 36 meters tall cracked in a violent storm as if hinged. The tip of the once beautiful tree hit the ground 24 meters from the base. Researcher Red Wo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 191848This question is from textbook Discovering Geometry: An Investigative Approach
: A giant California redwood tree 36 meters tall cracked in a violent storm as if hinged. The tip of the once beautiful tree hit the ground 24 meters from the base. Researcher Red Woods wishes to investigate the crack. How many meters up from the base of the tree does he have to climb?
The length of the hypotenuse is (((36-x))) Solve for "x" This question is from textbook Discovering Geometry: An Investigative Approach

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
24^2+X^2=(36-X)^2
576+X^2=1296-72X+X^2
X^2-X^2+72X=1296-576
72X=720
X=720/72
X=10 METERS UP FROM THE BASE IS WHERE THE CRACK IS.
PROOF:
24^2+10^2=(36-10)^2
576+100=26^2
676=676