Answer:
The angle of elevation of the sun is [tex]36\degree[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the angle of elevation of the sun as shown in the diagram.
Then the side length which is [tex]38[/tex] feet is opposite to [tex]x[/tex] and the side length which is [tex]53[/tex] feet is adjacent to [tex]x[/tex].
Therefore we use the trigonometric ratio that involves the opposite and adjacent sides, which is the tangent ratio.
[tex]\tan x=\frac{38}{53}[/tex]
[tex]\Rightarrow \tan x=0.71698[/tex]
We solve for [tex]x[/tex] to get,
[tex]x=\arctan (0.71698)[/tex]
[tex]\Rightarrow x=35.63981[/tex]
To the nearest degree, the angle of elevation is [tex]36\degree[/tex]
