Answer:
It is 16 feet from the bottom of the building
Step-by-step explanation:
Let the bottom of the ladder be x feet from the bottom of the building.
Note that the length of the ladder becomes the hypotenuse.
Then using Pythagoras theorem,
[tex] {34}^{2} = {x}^{2} + {30}^{2} [/tex]
We solve for x,
[tex] {34}^{2} - {30}^{2} = {x}^{2} [/tex]
[tex]256 = {x}^{2} [/tex]
[tex]x = \sqrt{256} = 16[/tex]
Therefore 16 feet from the bottom of the building
