Given a scale of 1:24,000 A) What is the ground distance in meters represented by 5cm on the map? B) How about the ground distances in kilometers represented by 5cm on the map? Thanks for your help.

1 cm = 24,000 cm

A.
5cm = 5 * 24,000 cm = 120,000
120,000 cm / 100 = 1,200 m

B.
1 km = 1,000 m
1,200 / 1000 = 1.2 km

To determine the ground distance represented by 5cm on a map with a scale of 1:24,000, we need to perform the following calculations:

A) Ground distance in meters:
First, we need to calculate the scale factor. The scale 1:24,000 indicates that every 1 unit on the map represents 24,000 units in reality.
Since 1m = 100cm, the scale in centimeters would be 1:240,000.

To find the ground distance in meters represented by 5cm on the map, we can use the following formula:

Ground distance = Map distance / Scale factor

Ground distance (in meters) = 5cm / 240,000

Simplifying the equation, we have:

Ground distance (in meters) = 0.000020833 meters

B) Ground distance in kilometers:
To convert the ground distance from meters to kilometers, we divide the ground distance in meters by 1000:

Ground distance (in kilometers) = 0.000020833 meters / 1000

Simplifying the equation, we have:

Ground distance (in kilometers) = 0.000000020833 kilometers

Therefore, 5cm on the map with a scale of 1:24,000 represents a ground distance of approximately 0.000020833 meters or 0.000000020833 kilometers.

To find the ground distance in meters represented by 5cm on the map, follow these steps:

Step 1: Determine the scale factor. In this case, the scale is 1:24,000, which means that 1 unit on the map represents 24,000 units in reality.

Step 2: Convert the units to meters. Since the scale factor is in meters (1:24,000), we don't need any additional conversions.

Step 3: Calculate the ground distance. Multiply the length on the map (5cm) by the scale factor (24,000) to get the ground distance in meters.

5 cm * 24,000 = 120,000 cm

Therefore, 5cm on the map represents 120,000 centimeters or 1200 meters on the ground.

Now let's find the ground distance in kilometers represented by 5cm on the map:

Step 1: Convert the ground distance from meters to kilometers. Divide the ground distance in meters (1200 meters) by 1000 since there are 1000 meters in 1 kilometer.

1200 meters / 1000 = 1.2 kilometers

Therefore, 5cm on the map represents 1.2 kilometers on the ground.