Final answer:
To find the actual distance between two points on a map with a scale of 1:1000, set up a proportion based on the scale and solve for the actual distance using cross-multiplication. For example, if the map distance is 2 cm, the actual distance would be 20 meters.
Step-by-step explanation:
The question involves converting scale measurements into actual distances, which is a typical middle school mathematics problem related to ratios and proportions.
To calculate the actual distance when the scale of the map is 1:1000, we need to know the distance between the two points on the map. Unfortunately, the original question appears to be missing this vital piece of information.
However, we can explain the process assuming a given distance. Let's say the measured distance on the map is 2 centimeters (cm).
First, we need to set up a proportion, which states that 1 cm on the map corresponds to 1000 cm in reality (since 1:1000 means 1 unit on the map is equal to 1000 of the same units in real life). Our equation would be:
1 cm (on the map) / 1000 cm (actual) = 2 cm (on the map) / actual distance in cm
Next, we would solve for the actual distance, which requires cross-multiplication:
1 cm * actual distance = 2 cm * 1000 cm
Therefore, the actual distance = 2 cm * 1000 cm / 1 cm = 2000 cm.
To convert this to meters, we divide by 100, since there are 100 cm in a meter:
2000 cm / 100 = 20 meters (actual distance between the two points).