Data:
[tex]\begin{gathered} x=30 \\ \theta=57 \end{gathered}[/tex]
Then, using the tangent function:
[tex]\begin{gathered} \tan (\theta)=\frac{Opposite}{Adjacent} \\ \text{Opposite}=\text{height}=\tan (\theta)\times Adjacent \end{gathered}[/tex]
Replacing the values:
[tex]\begin{gathered} \text{Height}=\tan (57)\times30=1.53\times30=45.9 \\ \text{Height}\approx46 \end{gathered}[/tex]
The answer of height to the nearest foot: 46ft
