Answer:
The angle of elevation is;
[tex]31.83^{\circ}[/tex]
Explanation:
Given that a person is standing 58 feet away from a tree that is 36 feet tall.
Applying trigonometry;
[tex]\begin{gathered} \tan x=\frac{\text{opposite}}{\text{adjacent}} \\ \text{opposite}=36\text{ ft} \\ \text{adjacent}=58\text{ ft} \end{gathered}[/tex]
Substituting the values;
[tex]\begin{gathered} \tan x=\frac{36}{58} \\ x=\tan ^{-1}(\frac{36}{58}) \\ x=31.83^{\circ} \end{gathered}[/tex]
Therefore, the angle of elevation is;
[tex]31.83^{\circ}[/tex]
