Solution:
Given:
The sketch of the scenarios;
By similar triangles,
[tex]\begin{gathered} \frac{35}{7}=\frac{h}{6.7} \\ Cross\text{ multiplying;} \\ 7h=35\times6.7 \\ 7h=234.5 \\ h=\frac{234.5}{7} \\ h=33.5ft \\ \\ To\text{ the nearest foot,} \\ h=34ft \end{gathered}[/tex]Therefore, to the nearest foot, the tree is 34 feet tall.