QUESTION IMAGE
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
waterfall
6 cm
parking
9 cm
picnic
area
ranger
tower
3 cm:1.5 km
Step1: Determine the scale factor
The scale is \(3\ cm:1.5\ km\). To find the multiplier, divide the actual distance by the map distance. So, \(\frac{1.5}{3}=0.5\). This means each \(1\ cm\) on the map represents \(0.5\ km\) in actual.
Step2: Calculate the actual length of the waterfall trail
The waterfall trail is \(6\ cm\) on the map. Multiply the map length by the multiplier (\(0.5\)). So, \(6\times0.5 = 3\).
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