Question

A building casts a shadow 39 m long. At the same time, the shadow cast by a 59-cm tall pole is 71 cm long. Find the height of the building.A. 45.4 mB. 46.9 mC. 30.9 mD. 32.4 m

Answer 1

D. 32.4 m

Step-by-step explanation:

The ratio of the height of an object to the length of the shadow is constant, so we can write the following equation

`\frac{\text{ Height}}{\text{ Shadow}}=\frac{59\text{ cm}}{71\text{ cm}}=\frac{x}{39\text{ m}}`

Where x is the height of the building. Solving for x, we get:

`\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}`

Therefore, the height of the building is 32.4 m