Question

A pole that is 3.2 m tall casts a shadow that is 1.07 m long. At the same time, a nearby building casts a shadow that is 44.75m long. How tall is the building? Round answer to nearest meter.

Answer 1

For solving this problem we use proportions.

The height of the pole corresponds to the height of the building, the shadows are also corresponding.

`\begin{gathered} (3.2)/(x)=(1.07)/(44.75) \\ Do\text{ corros multiplication and find the value of x.} \\ x=(44.75*3.2)/(1.07) \\ x=(143.2)/(1.07) \\ x=133.831 \\ \text{Building is tall 133.83m} \end{gathered}`