Answer:
[tex]14\frac{2}{11}[/tex] ft
Step-by-step explanation:
Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:
[tex]\frac{x}{26} =\frac{6}{11}[/tex]
Now, to solve for x, we can cross-multiply:
11x = 6*26
11x = 156
x = [tex]14\frac{2}{11}[/tex]