Question

A person is standing 58 feet away from a tree that is 36 feet tall. What is the angle of elevation?

Answer 1

The angle of elevation is;

`31.83^(\circ)`

Step-by-step explanation:

Given that a person is standing 58 feet away from a tree that is 36 feet tall.

Applying trigonometry;

`\begin{gathered} \tan x=\frac{\text{opposite}}{\text{adjacent}} \\ \text{opposite}=36\text{ ft} \\ \text{adjacent}=58\text{ ft} \end{gathered}`

Substituting the values;

`\begin{gathered} \tan x=(36)/(58) \\ x=\tan ^(-1)((36)/(58)) \\ x=31.83^(\circ) \end{gathered}`

Therefore, the angle of elevation is;

`31.83^(\circ)`