Answer:
D. 32.4 m
Explanation:
The ratio of the height of an object to the length of the shadow is constant, so we can write the following equation
[tex]\frac{\text{ Height}}{\text{ Shadow}}=\frac{59\text{ cm}}{71\text{ cm}}=\frac{x}{39\text{ m}}[/tex]Where x is the height of the building. Solving for x, we get:
[tex]\begin{gathered} \frac{x}{39\text{ m}}=\frac{59\text{ cm}}{71\text{ cm}} \\ \\ x=\frac{59\text{ cm}}{71\text{ cm}}\cdot39\text{ m} \\ \\ x=32.4\text{ m} \end{gathered}[/tex]Therefore, the height of the building is 32.4 m
