Question

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: Find the scale - factor

Given the scale $3\ cm:1.5\ km$, convert $1.5\ km$ to $150000\ cm$. The scale factor is $\frac{150000}{3}=50000$. But we can also use the ratio in a simplified way. Since $3\ cm$ represents $1.5\ km$, then $1\ cm$ represents $0.5\ km$. So we multiply each distance in the scale - drawing by $0.5$ (in km per cm) to get the actual distance.

Step2: Calculate the actual length of the waterfall trail

The length of the waterfall trail in the scale - drawing is $6\ cm$. Multiply by the scale factor $0.5\ km/cm$. So the actual length is $6\times0.5 = 3\ km$.

Answer:

3