Th problem is shown below:
h is the height of the monument.
Using the formula of a tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]In this question:
θ = 78°
opposite: h
adjacent: 118 feet
[tex]\begin{gathered} tan(78)=\frac{h}{118} \\ 4.70=\frac{h}{118} \\ 4.70*118=\frac{h}{118}*118 \\ 555\text{ feet = h} \end{gathered}[/tex]Answer: 555 feet.
