Given:
The ladder is resting on the top of the tree and is 8 ft from the bottom of the tree.
The angle of elevation is 65 degree.
This will form a right triangle,
The height is the tree is given by,
[tex]\begin{gathered} \tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan 65^{\circ}=\frac{h}{8} \\ 2.14451=\frac{h}{8} \\ h=17.156 \end{gathered}[/tex]
Answer: the height of the tree is 17.2 ft.
