A map of Utah has a scale of 1/3 cm ∶ 10 mi. The border of Utah and Wyoming measures about 3.7 cm. How long is the actual border of Utah and Wyoming?
To find the actual length of the border between Utah and Wyoming, we need to use the scale provided and the measurement on the map.
First, let's convert the measurement on the map to miles.
The scale given is 1/3 cm : 10 mi, which means that 1 cm on the map represents 10 miles in real life.
Therefore, the length of the border on the map, 3.7 cm, represents:
3.7 cm x 10 mi/cm = 37 miles.
So, the length of the actual border between Utah and Wyoming is 37 miles.