Answer:
32 feet will the bottom of the ladder be from the bottom of the building.
Step-by-step explanation:
Given:
Height of ladder = 40 feet.
Height of building = 24 feet.
Now, to find the distance from the bottom of the ladder to the bottom of the building.
So, as illustrated in figure below:
Now, we use pythagorean theorem to solve it:
[tex]AB^2+BC^2=AC^2[/tex]
[tex]24^+BC^2=40^2.[/tex]
[tex]576+BC^2=1600[/tex]
Subtracting both sides from 576 we get:
[tex]BC^2=1024[/tex]
Using square root on both sides we get:
[tex]BC=32\ feet.[/tex]
Therefore, 32 feet will the bottom of the ladder be from the bottom of the building.
