Answer: 13.41 ft
Step-by-step explanation:
Given
length of ladder L=14 ft
Distance between building and ladder base is 4 ft
Suppose ladder reaches the height of h
from the figure, we can write
[tex]\Rightarrow L^2=h^2+x^2\\\Rightarrow h^2=14^2-4^2\\\Rightarrow h^2=196-16=180\\\Rightarrow h=13.41\ ft[/tex]
