Explanation
To solve the question, we will make use of the sketch below
We will solve for x
[tex]\begin{gathered} cos75=\frac{adjacent}{hyppotenuse}=\frac{x}{22} \\ cos75=\frac{x}{22} \\ \end{gathered}[/tex]Solving for x
[tex]\begin{gathered} x=22cos75 \\ \\ x=5.69\text{ feet} \end{gathered}[/tex]The ladder should be placed 5.69 feet from the house
