Given :
The scale for a map to actual distance is 2 cm to a 100 miles.
To Find :
He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.
Solution :
2 cm of map shows 100 miles of actual distance.
So, 1 cm of map shows 50 miles of actual distance.
Now, 5.4 cm of map will show :
[tex]D=5.4\times 50\ miles\\\\D=270\ miles[/tex]
Therefore, distance between Los Angeles and Las Vegas is 270 miles.
Hence, this is the required solution.