Given a scale of 1:24,000
A. What is the ground distance in feet represented by three inches on the map?
B.What is the ground distance in meters represented by 5 cm on the map?
C.How about the ground distance in kilometers represented by 5 cm on the map?
Ok, can you show me the formula to use? But I'm thinking 1600k
A. 1" on the map = 24,000" on the ground; 3" on the map = 72,000" on the ground. 72,000" / 12" = 6,000 ft.
*A in the orginal answer posted by bobpursley is incorrect; 24,000 divided by 1/4 (.25) is not 8,000, it is 6,000.
To determine the ground distance represented by a given measurement on a map, we can use the scale provided.
A. To calculate the ground distance in feet represented by three inches on the map, we need to convert the map scale from inches to feet.
First, calculate the ratio of inches on the map to inches in the real world:
1 inch on the map represents 24,000 inches in reality.
Next, convert the scale to feet:
Since there are 12 inches in a foot, we divide the ratio by 12:
1 inch on the map represents 24,000/12 = 2,000 feet in reality.
Now, we can determine the ground distance represented by three inches on the map:
3 inches on the map represents 3 * 2,000 = 6,000 feet in reality.
Therefore, three inches on the map represents a ground distance of 6,000 feet.
B. To determine the ground distance in meters represented by 5 cm on the map:
First, convert the map scale from centimeters to meters:
1 centimeter on the map represents 24,000 centimeters in reality.
Next, convert the scale to meters:
Since there are 100 centimeters in a meter, we divide the ratio by 100:
1 centimeter on the map represents 24,000/100 = 240 meters in reality.
Now, we can determine the ground distance represented by 5 centimeters on the map:
5 centimeters on the map represents 5 * 240 = 1,200 meters in reality.
Therefore, 5 centimeters on the map represents a ground distance of 1,200 meters.
C. To determine the ground distance in kilometers represented by 5 cm on the map:
First, convert the map scale from centimeters to kilometers:
1 centimeter on the map represents 24,000 centimeters in reality.
Next, convert the scale to kilometers:
Since there are 100,000 centimeters in a kilometer, we divide the ratio by 100,000:
1 centimeter on the map represents 24,000/100,000 = 0.00024 kilometers in reality.
Now, we can determine the ground distance represented by 5 centimeters on the map:
5 centimeters on the map represents 5 * 0.00024 = 0.0012 kilometers in reality.
Therefore, 5 centimeters on the map represents a ground distance of 0.0012 kilometers.
a. 24000*3"=24000*1/4 ft= 8000 ft
b. 24000*5cm=24000*.05m=1200m
c. you do it.