Answer: The problem can be visualized with the help of the following diagram:
Therefore the building height can be determined by using the pythagorean theorem, the steps are as follows:
[tex]\begin{gathered} x^2+x^2=14^2 \\ \\ 2x^2=14^2 \\ \\ x=\sqrt{\frac{14^2}{2}}=\sqrt{98} \\ \\ h=x=9.899ft \\ \\ \end{gathered}[/tex]
Therefore the ladder reaches 9.9ft up the wall.
