Question 314567
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