Answer:
2.0 km
Step-by-step explanation:
In this problem, the scale between the map and the real distances is:
1 cm on the map represents 200 meters
The length of the trail in this problem on the map is
d = 15 cm
The rest stop is located 2/3 of the way, so at a distance of
[tex]d'=\frac{2}{3}d=10 cm[/tex]
on the map.
We want to find the real distance of the rest stop: therefore, we can use the rule of three,
[tex]\frac{1cm}{200 m}=\frac{10 cm}{D'}[/tex]
where D' is the real distance of the rest stop.
Solving for D',
[tex]D'=\frac{(200 m)(10 cm)}{1 cm}=2000 m[/tex]
Which corresponds to 2.0 km.
