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 conversion factor

Given \(3\ cm = 1.5\ km\). To find the factor \(k\) such that \(actual\ distance=k\times scale\ distance\). Solve for \(k\) from \(1.5 = k\times3\), so \(k=\frac{1.5}{3}=0.5\).

Step2: Calculate the actual length of the waterfall trail

The scale - length of the waterfall trail is \(6\ cm\). Using the formula \(actual\ distance = k\times scale\ distance\), substitute \(k = 0.5\) and \(scale\ distance=6\ cm\). Then \(actual\ distance=0.5\times6 = 3\ km\).

Answer:

\(3\)