Work out all necessary steps to solve the following question. change the following RF scale into statement scale. A.1:2,400,000. B.1:1,900,000 Assume the ground distance between two points in 324 km and it's map distance will be 3km what will be scale?

Here are the solutions to your geography assignment:

1. Change the following statements scale into RF scale.

a) 1 cm to 12 km

Step 1: Convert kilometers to centimeters.

$$12 \text{ km} = 12 \times 100,000 \text{ cm} = 1,200,000 \text{ cm}$$

Step 2: Express as a ratio.

$$\text{RF scale} = 1:1,200,000$$

b) 3 cm to 9 km

Step 1: Simplify the map distance to 1 cm.

$$1 \text{ cm} \text{ represents } \frac{9 \text{ km}}{3} = 3 \text{ km}$$

Step 2: Convert kilometers to centimeters.

$$3 \text{ km} = 3 \times 100,000 \text{ cm} = 300,000 \text{ cm}$$

Step 3: Express as a ratio.

$$\text{RF scale} = 1:300,000$$

2. Change the following RF scale into statement scale.

a) 1:2,400,000

Step 1: Interpret the RF scale.

$$1 \text{ cm} \text{ represents } 2,400,000 \text{ cm}$$

Step 2: Convert centimeters to kilometers.

$$2,400,000 \text{ cm} = \frac{2,400,000}{100,000} \text{ km} = 24 \text{ km}$$

Step 3: Write the statement scale.

$$\text{Statement scale} = \text{1 cm to 24 km}$$

b) 1:1,900,000

Step 1: Interpret the RF scale.

$$1 \text{ cm} \text{ represents } 1,900,000 \text{ cm}$$

Step 2: Convert centimeters to kilometers.

$$1,900,000 \text{ cm} = \frac{1,900,000}{100,000} \text{ km} = 19 \text{ km}$$

Step 3: Write the statement scale.

$$\text{Statement scale} = \text{1 cm to 19 km}$$

3. Assume the ground distance between two points is 324 km and its map distance will be 3 km what will be scale?
Assumption: The map distance is 3 cm, not 3 km, as map distances are typically in centimeters.

Step 1: State the given distances.

$$\text{Map distance} = 3 \text{ cm}$$ $$\text{Ground distance} = 324 \text{ km}$$

Step 2: Convert ground distance to centimeters.

$$324 \text{ km} = 324 \times 100,000 \text{ cm} = 32,400,000 \text{ cm}$$

Step 3: Calculate the RF scale.

$$\text{RF scale} = \frac{\text{Map distance}}{\text{Ground distance}} = \frac{3 \text{ cm}}{32,400,000 \text{ cm}} = \frac{1}{10,800,000}$$ $$$$