SOLUTION: A telephone pole was bent over at the point 4/9 of the distance from its base to the top. The top of the pole reaches a point on the ground 9 meters from the base of the pole (thus

Question 684401: A telephone pole was bent over at the point 4/9 of the distance from its base to the top. The top of the pole reaches a point on the ground 9 meters from the base of the pole (thus forming a triangle with the ground). What was the original height of the pole?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the length of pole be x
4x/9 is erect and 5x/9 is the bent portion which is the hypotenuse of the triangle formed.
distance from ground = 9 m
Using Pythagoras theorem

multiply equation by 81

/9
x^2= 81*81/9
x^2=81*9
x= +/- 9*3
x= 27 ignore negative value.
Length of pole = 27m

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