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.
What is the formula for tan theta?
[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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