SOLUTION: Woody Woodpecker picked at a 17m wooden pole until it cracked and the upper part fell, reaching a point on the ground 10m from the foot of the pole. Since the pole had not complete

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: Woody Woodpecker picked at a 17m wooden pole until it cracked and the upper part fell, reaching a point on the ground 10m from the foot of the pole. Since the pole had not complete      Log On

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 Click here to see ALL problems on Pythagorean-theorem Question 187647: Woody Woodpecker picked at a 17m wooden pole until it cracked and the upper part fell, reaching a point on the ground 10m from the foot of the pole. Since the pole had not completely broken off, Woody pecked away where it had cracked. How far was Woody above the ground?Answer by nerdybill(6958)   (Show Source): You can put this solution on YOUR website!Let x = distance Woody above ground then hypotenuse = 17-x . From Pythagorean: x^2 + 10^2 = (17-x)^2 x^2 + 100 = 289 - 34x + x^2 100 = 289 - 34x -189 = -34x -189/-34 = x 5.559m = x