Answer:
The length of ladder is 17 feet .
Step-by-step explanation:
Refer the attached figure .
Let the length of ladder AC be h
We are given that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder.
So ,Perpendicular = AB = h-9
Distance from the bottom of the ladder to the building= BC = Base =15 feet.
Using Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2\\h^2=(h-9)^2+15^2\\h^2=h^2+81-18h+225\\18h=306\\h=\frac{306}{18}\\h=17[/tex]
Hence The length of ladder is 17 feet .
