Given,
The force applied to lift the tree, F=150 N
The work done in lifting the tree, W=250 J
The work done in lifting the tree is the product of the force applied and the height through which the tree was lifted.
Thus,
[tex]\begin{gathered} W=F\times d \\ \Rightarrow d=\frac{W}{F} \end{gathered}[/tex]Where d is the height through which the tree was lifted.
On substituting the known values,
[tex]\begin{gathered} d=\frac{250}{150} \\ =1.67\text{ m} \end{gathered}[/tex]Thus the tree was lifted through a height of 1.67 m