Answer:
24 foot
Step-by-step explanation:
We are given that
Length of ladder=26 foot
Height of building=10 foot
We have to find the distance between the bottom of ladder and the bottom of building.
Pythagorus theorem:
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]
We have hypotenuse =AC=26 foot
Perpendicular side =AB=10 foot
Base=BC
Substitute the values in the given formula
[tex](26)^2=(10)^2+(BC)^2[/tex]
[tex]676=100+(BC)^2[/tex]
[tex](BC)^2=676-100=576[/tex]
[tex]BC=\sqrt{576}=24[/tex] (Take positive because length is always positive)
BC=24 foot
Hence, the bottom of the ladder will be 24 foot from the bottom of the building.
