The distance between station x and y on the map is 7cm. Find the actual ground distance between the two stations if the map scale is 1:100000

To find the actual ground distance between the two stations, we need to use the map scale.

Let's start by converting the map scale to the same unit as the distance on the map (centimeters):

1 cm on the map represents 100000 cm in reality.

Now, we can follow the ratio and set up a proportion:

(actual distance) / (ground distance on the map) = (actual scale) / (map scale)

Let's plug in the given values:

(actual distance) / 7 cm = 1 / 100000

To find the actual distance, we cross-multiply and solve for (actual distance):

(actual distance) = (7 cm) * (1 / 100000)

(actual distance) = 0.00007 km

Therefore, the actual ground distance between station x and y is 0.00007 kilometers.

To find the actual ground distance between two stations on a map given the map scale, you need to use the following formula:

Actual Distance = Map Distance / Map Scale

In your case, the map distance between station X and Y is 7 cm, and the map scale is 1:100000.

Step 1: Convert the map scale to a ratio by dividing the second number by 1,000,000.
1:100000 = 1/100000 = 0.00001

Step 2: Substitute the values into the formula.
Actual Distance = 7 cm / 0.00001

Step 3: Simplify the calculation.
Actual Distance = 7 cm / 0.00001 = 700,000 cm

Therefore, the actual ground distance between station X and Y is 700,000 centimeters.