Answer: [tex]66.42^{\circ}[/tex]
Step-by-step explanation:
Given
Length of the ladder is [tex]L=15\ ft[/tex]
Bottom of the ladder is [tex]6\ ft[/tex] away from the side of the house.
Suppose, ladder is leaning against the wall with angle of elevation [tex]\theta[/tex]
from the figure, we can write
[tex]\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}[/tex]
Thus, the angle of elevation is [tex]66.42^{\circ}[/tex]
