Given:
Height of person 5.3 ft.
Distance between person and tree is 34 feet
In triangle ABC
BC=34
Angle = 71
[tex]\begin{gathered} \tan \theta=\frac{\text{ perpendicular}}{\text{ base}} \\ \tan \theta=\frac{AB}{BC} \\ \tan 71=\frac{AB}{34} \\ AB=34\times\tan 71 \\ AB=98.7431 \end{gathered}[/tex]
So height of tree is person height + AB
[tex]\begin{gathered} =98.7431+5.3 \\ =104.0431 \end{gathered}[/tex]
So height of tree is 104
