Pythagoras theorem states that for a right angle triangle the measure of the square of the hypotenuse side is equal to the sum of the square of the other two sides.The ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.
Given information-
The length of the ladder is 24 foot.
The height of the wall is 20 foot.
Suppose the ladder has to kept at x feet away from the bottom of the wall
Here a right angle is formed in which the ladder is hypotenuse side shown in the diagram attached below.
Pythagoras theorem states that for a right angle triangle the measure of the square of the hypotenuse side is equal to the sum of the square of the other two sides.
As the ladder has to be kept at x feet away from the bottom of the wall. Thus,
[tex]24^2=20^2+x^2\\ 576=400+x^2[/tex]
Solve for the x,
[tex]x=\sqrt{576-400}\\ x=\sqrt{176}\\ x=13.266[/tex]
hence the ladder ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.
Learn more about the Pythagoras theorem here;
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