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.

$\begin{gathered} \frac{3.2}{x}=\frac{1.07}{44.75} \\ Do\text{ corros multiplication and find the value of x.} \\ x=\frac{44.75\times3.2}{1.07} \\ x=\frac{143.2}{1.07} \\ x=133.831 \\ \text{Building is tall 133.83m} \end{gathered}$