Answer
The height of the building is \[70\text{ ft}\].
Work Step by Step
The trigonometric ratio for \[\text{Tangent }A\] will be determined by dividing the opposite side of angle A with the adjacent side of the triangle.
Compute the height of the building using the equation as shown below:
\[\begin{align}
& \text{Tangent }A=\frac{\text{Opposite side of angle A}}{\text{Adjacent side of angle A}} \\
& \text{Tangent }34{}^\circ =\frac{\text{BC}}{\text{AC}} \\
& =\frac{\text{h}}{\text{104}}
\end{align}\]
\[\begin{align}
& \text{h}=\text{Tangent }34{}^\circ \times \text{104} \\
& =\text{0}\text{.674}\times \text{104} \\
& =\text{70 ft}
\end{align}\]
Hence, the height of the building is \[70\text{ ft}\].
