Answer: [tex]\sqrt{101}[/tex] feet or 10.05 feet.
Step-by-step explanation:
We know that wall stands vertical to the ground makes right angle.
Then, the triangle made by ladder must be right triangle.
Now, by Pythagoras theorem of right triangle we have,
[tex]l^2=h^2+b^2[/tex] , where h is the height of the wall , l is length of ladder and b is the distance of bottom from the building.
By considering the given information, we have
[tex](51)^2=(50)^2+b^2\\\\\Rightarrow\ b^2=(51)^2-(50)^2\\\\\Rightarrow\ b^2=2601-2500=101\\\\\Rightarrow\ b=\sqrt{101}=10.0498756211\approx10.05\ \text{[ Rounded to the nearest two decimal places. ]}[/tex]
Hence, the distance of bottom from the building = 10.05 feet.
