4. Determine the height of a tree

The height of a man and his shadow form a triangle similar to that formed by a nearby tree and its shadow. What is the height of the tree? From the picture, \(AC =\) 30 \(feet\), \(AE =\) 97 \(feet\), \(BC =\) 8 \(feet\) and \(DE=\) \(h\) \(feet\).

 

 

The height of the tree is  \(feet\).

 

(Note: Insert the answer as a whole number).