Here x is the angle of the elevation and the value of x is 31 degrees.
We have given that,
Amari is observing a woodpecker near the top of a tree,
as shown in the diagram given.
We have to determine,
The measure of angle x, the angle of elevation, is rounded to the nearest degree.
[tex]tan(\theta)=\frac{Opposite \ side}{Hypotenuse}[/tex]
From the diagram,
Opposite side=20ft
Adjacent side=36ft
Use this value of the above formula.
So we get,
[tex]tan(\theta)=\frac{20}{36} \\\\tan(x)=5/9\\\\tan(x)=0.55\\x=tan^{-1}(0.55)\\x=31.51^0[/tex]
Here x is the angle of the elevation and the value of x is 31 degrees.
Therefore the value of x is 31.
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