Given the information, we can make a simple picture to see what we need to measure:
Now, using the pythagorean theorem, we have:
[tex]c^2=a^2+b^2[/tex]In this case, we have that c^2=10 and b^2=6, then we need to solve for a:
[tex]\begin{gathered} c^2=a^2+b^2 \\ \Rightarrow a^2=c^2-b^2 \\ \Rightarrow a^2=(10)^2-(6)^2=100-36=64 \\ \Rightarrow a^2=64 \\ \Rightarrow a=\sqrt[]{64}=8 \\ a=8 \end{gathered}[/tex]Therefore, the branch is 8 yards high.
