Question

chaya has a map that shows the lengths of some hiking trails. the scale is shown in the drawing. what number can you multiply each distance in the scale drawing by to find the actual distance? 0.5 what is the actual length of the waterfall trail?

Explanation:

Step1: Identify the scale factor

The scale is $3\mathrm{cm}:1.5\mathrm{km}$, which can be written as a ratio $\frac{1.5\mathrm{km}}{3\mathrm{cm}} = 0.5\mathrm{km/cm}$.

Step2: Calculate the actual length of the waterfall - trail

The length of the waterfall - trail on the map is $6\mathrm{cm}$. Multiply the map - length by the scale factor. The actual length $L$ is $L=6\mathrm{cm}\times0.5\mathrm{km/cm}$.
$L = 3\mathrm{km}$

Answer:

The actual length of the waterfall trail is $3\mathrm{km}$. The number to multiply each distance in the scale drawing to find the actual distance is $0.5\mathrm{km/cm}$.