Question

onaya 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 picnic area trail?
km
(image shows a map with distances: waterfall to parking is 6 cm, parking to picnic area is 9 cm, parking to ranger tower is 3 cm. scale: 3 cm : 1.5 km)

Explanation:

First Sub - Question

Step1: Analyze the scale

The scale is given as \(3\space\text{cm}=1.5\space\text{km}\). To find the multiplier, we calculate the actual distance per centimeter.
We divide the actual distance by the map distance: \(\frac{1.5\space\text{km}}{3\space\text{cm}} = 0.5\space\text{km/cm}\). So we multiply each map distance (in cm) by \(0.5\) to get the actual distance (in km).

Step1: Identify the map distance

The map distance of the picnic area trail (Ranger Tower trail) is \(3\space\text{cm}\).

Step2: Apply the multiplier

We know the multiplier from the first part is \(0.5\space\text{km/cm}\). So we multiply the map distance by the multiplier: \(3\space\text{cm}\times0.5\space\text{km/cm}\).

Step3: Calculate the result

\(3\times0.5 = 1.5\space\text{km}\).

Answer:

\(0.5\)

Second Sub - Question (Assuming the picnic area trail is the 3 cm one)