The given problem can be exemplified in the following diagram:
Applying the Pythagorean theorem we get:
[tex]h^2=(16ft)^2+(32ft)^2[/tex]
Solving the squares:
[tex]h^2=256ft^2+1024ft^2[/tex]
Solving the operations:
[tex]h^2=1280ft^2[/tex]
Now we take the square root to both sides:
[tex]\sqrt[]{h^2}=\sqrt[]{1280ft^2}[/tex]
Solving the operations:
[tex]h=35.8ft[/tex]
Therefore, the height of the tree is 35.8 feet.
