Question 314567: A boat is 132 feet from the base of cliff. If the distance from the top of the cliff to the boat is 33 more than twice the height of the cliff. Find the height of the cliff. Round to the nearest tenth of a foot if necessary.
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! A^2+B^2=C^2
132^2+H^2=(2H+33)^2
17,424+H^2=4H^2+132H+1,089
H^2-4H^2-132H+17,424-1,089
-3H^2-132H+16,335=0
-3(H^2+44H-5,445)=0
-3(H-55)(H+99)=0
H-55=0
H=55 ANS. FOR THE HEIGHT OF THE CLIFF.
PROOF:
132^2+55^2=(2*55+33)^2
17,424+3,025=(110+33)^2
20,449=143^&2
20,449=20,449
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