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? km 3 cm:1.5 km

Explanation:

Step1: Determine the scale - factor

Given the scale $3\ cm:1.5\ km$, we can find the factor to convert from map - distance to actual distance. First, convert the scale to a unit - rate. If $3\ cm$ on the map represents $1.5\ km$ in real - life, then for $1\ cm$ on the map, the actual distance is $\frac{1.5}{3}=0.5\ km$. So the number to multiply each map distance by is $0.5$.

Step2: Calculate the actual length of the waterfall trail

The length of the waterfall trail on the map is $6\ cm$. To find the actual length, we multiply the map length by the conversion factor. The actual length $L = 6\times0.5=3\ km$.

Answer:

3