Wall will the ladder extend 11.6 ft
What is Pythagoras theorem?
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
Length of the ladder = 12 ft
Distance from the bottom = 1/4 of length of the ladder
= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]
= 3 ft
By using Pythagoras theorem
[tex]12^{2}=x^{2} +3^{2}[/tex]
[tex]x^{2} =144-9[/tex]
[tex]x^{2} =135[/tex]
[tex]x=\sqrt{135}[/tex]
[tex]x=[/tex] ± 11.6 ft
Hence, wall will the ladder extend 11.6 ft.
Find out more information about Pythagoras theorem here
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