So for this, you'll be using the pythagorean theorem to solve for the height.
[tex]9^2+b^2=16^2[/tex]
Solve the exponents to get [tex]81+b^2=256[/tex]
Subtract 81 on each side to get [tex]b^2=175[/tex]
Square root each side, and your answer should be [tex]b= \sqrt{175}[/tex] or 13.23 ft