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

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, divide the actual distance by the scale - drawing distance. Let \(x\) be the number. So \(x=\frac{1.5}{3}\)

$$x = 0.5$$

Step2: Calculate the actual length of the waterfall trail

The length of the waterfall trail on the scale - drawing is \(6\ cm\). Use the scale factor \(x = 0.5\) (where the unit of \(x\) is \(\frac{km}{cm}\)). The actual length \(L\) is given by \(L=\text{scale - drawing length}\times x\)

$$L=6\times0.5$$

$$L = 3$$

Answer:

The actual length of the waterfall trail is \(3\ km\)