Answer:
47.5 ft
Explanation:
We can model the situation as follows:
So, we can relate the three given measures using the trigonometric function tangent as:
[tex]\tan 31=\frac{x}{79}[/tex]
Therefore, the value of x is:
[tex]\begin{gathered} 79^{}\cdot\tan 31=79\cdot\frac{x}{79} \\ 79\cdot\tan 31=x \\ 79\cdot(0.6)=x \\ 47.5=x \end{gathered}[/tex]
Therefore, the height of the tower is 47.5 ft
