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 \(3\ cm:1.5\ km\). To find the number to multiply the scale - drawing distance by, we first convert the scale to a unit - scale.
We know that if \(3\ cm\) represents \(1.5\ km\), then for \(1\ cm\), the actual distance \(d\) is found by the proportion \(\frac{d}{1}=\frac{1.5}{3}\).

$$d = 0.5\ km/cm$$

Step2: Calculate the actual length of the waterfall trail

The length of the waterfall trail in the scale - drawing is \(6\ cm\).
Using the scale factor \(k = 0.5\ km/cm\), the actual length \(L\) of the waterfall trail is \(L=6\times0.5\).

$$L = 3\ km$$

Answer:

\(3\)