The height is 28.9 ft
Explanation:The given scenario can be shown in the figure below:
This forms a right-angle triangle.
Applying Pythagorean rule, we have:
[tex]30^2=8^2+h^2[/tex]Where h is how high above the ground the top of the ladder is touching the house.
Solving for h, we have:
[tex]\begin{gathered} h^2=30^2-8^2 \\ \\ h^2=836 \\ \\ h=\sqrt[]{836} \\ =28.9 \end{gathered}[/tex]The height is 28.9 ft
