Answer: [tex]h=5.66ft[/tex]
Step-by-step explanation:
Observe the picture attached.
Find the value of "x" and "y" using the Pythagoren Theorem:
[tex]a^2=b^2+c^2[/tex]
If you solve for "a":
[tex]a= \sqrt{b^2+c^2}[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case, for "x" you know that:
[tex]a=x\\b=8ft\\c=2ft[/tex]
Then, the value of "x" is:
[tex]x=\sqrt{(8ft)^2+(2ft)^2}\\\\x=8.24ft[/tex]
For "y" you can see that:
[tex]a=10ft\\b=8.24ft\\c=h[/tex]
Subsituting values and solving for h, you get:
[tex](10ft)^2=(8.24ft)^2+h^2\\\\h=\sqrt{(10ft)^2-(8.24ft)^2} \\\\h=5.66ft[/tex]
