The distance between the bottom of the ladder to the base of the building = 6.63 feet
Explanations:The height of the ladder, l = 12 feet
Height of the wall covered by the ladder, h = 10 feet
Distance between the base of the building and the bottom of the ladder = x
Using the pythagoras theorem:
[tex]\begin{gathered} (\text{Hypotenuse)}^2=(opposite)^2+(Adjacent)^2 \\ l^2=h^2+x^2 \\ 12^2=10^2+x^2 \\ 144=100+x^2 \\ 144-100=x^2 \\ 44=x^2 \\ \sqrt[]{44}=\text{ x} \\ x\text{ = }6.63 \end{gathered}[/tex]The distance between the bottom of the ladder to the base of the building = 6.63 feet
