1. **Stating the problem:** We have a scale drawing where 1 cm represents 100 km. We need to find the actual distance from C to D using the scale. 2. **Formula and explanation:** The formula to find actual distance is: $$\text{Actual distance} = \text{Scale factor} \times \text{Measured distance on drawing}$$ Here, the scale factor is 100 km per 1 cm. 3. **Measure the distance C to D on the diagram:** Since the exact length is not given numerically, assume the length on the diagram is $x$ cm. 4. **Calculate actual distance:** $$\text{Actual distance} = 100 \times x \text{ km}$$ 5. **Placing point E:** E is 300 km due south of C. Since 1 cm represents 100 km, 300 km corresponds to: $$\frac{300}{100} = 3 \text{ cm}$$ 6. **Show E on the diagram:** From point C, move 3 cm vertically downward (since south is opposite to north) and mark point E there. **Final answers:** - Actual distance from C to D is $100x$ km, where $x$ is the length in cm on the diagram. - Point E is 3 cm directly below C on the diagram. Since the problem does not provide the exact length of C to D on the diagram, the answer is expressed in terms of $x$. If the length of C to D on the diagram is measured, multiply by 100 to get the actual distance in km.