GunnerC241620 GunnerC241620
  • 03-11-2022
  • Mathematics
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Please look at the picture for accurate description thank you in advance

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FranciscaY268912 FranciscaY268912
  • 03-11-2022

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

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