Question 684401
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

{{{9^2+(4x/9)^2= (5x/9)^2}}}

{{{81+16x^2/81 = 25x^2/81}}}

{{{25x^2/81 -16x^2/81 = 81

{{{(25x^2-16x^2)/81 = 81}}}

multiply equation by 81

{{{9x^2= 81*81}}}
/9
x^2= 81*81/9

x^2=81*9

x= +/- 9*3
x= 27 ignore negative value.

Length of pole = 27m