Answer:
[tex]b=12.5[/tex] ft
Step-by-step explanation:
From this description we can draw this diagram
Now we can use the Pythagorean theorem to find the height.
[tex]10^2+b^2=16^2\\\\b^2=256-100\\\\b=\sqrt{156}[/tex]
This square root is equal to
[tex]b=12.489[/tex]
Which rounds to
[tex]b=12.5[/tex] ft