3.2.1 Vertical Exaggeration Calculation
To calculate vertical exaggeration (VE), we use the formula:
\[ \text{Vertical Exaggeration} = \frac{\text{Vertical Scale}}{\text{Horizontal Scale}} \]
Given the scales:
- Horizontal Scale = 1:50,000
- Vertical Scale = 1:20,000
To compute VE, we need to convert the scales to a common format:
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Convert the scales to ratios (in terms of meters for clarity):
- Horizontal Scale: 1 unit on the map represents 50,000 units in reality (meters).
- Vertical Scale: 1 unit on the map represents 20,000 units in reality (meters).
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We can express the scales as:
- Horizontal Scale = 50,000 meters
- Vertical Scale = 20,000 meters
Now we substitute these values into the formula:
\[ \text{Vertical Exaggeration} = \frac{20,000}{50,000} \]
Calculating the fraction:
\[ \text{Vertical Exaggeration} = \frac{20,000 \div 10,000}{50,000 \div 10,000} = \frac{2}{5} = 0.4 \]
Vertical Exaggeration = 0.4
3.2.2 Straight Line Distance Calculation
To find the straight line distance between spot height 402 and spot height 47 in km, we need the coordinates of these spot heights. Unfortunately, these coordinates are not provided here.
However, if we know the coordinates (e.g., in meters), the straight-line distance can be calculated using the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Make sure to convert the result from meters to kilometers by dividing by 1,000.
Assuming hypothetical coordinates for demonstration:
- Spot height 402: (x1, y1)
- Spot height 47: (x2, y2)
The distance would be calculated, and then divided by 1000 to convert to kilometers.
For a specific answer, please provide the coordinates.
3.2.3 De Koppe Waterworks and Surrounding Area
Based on your instruction regarding the location of De Koppe Waterworks in block A4, you must check the specific topographic map for its exact position.
Once you locate De Koppe Waterworks in block A4:
- Look directly SE (southeast) of its position on the map.
- Identify the natural area.
Natural areas could vary depending on the geographical context (forests, rivers, mountains, etc.).
Again, as I do not have access to the specific map, you will want to visually verify and describe the area located southeast of the waterworks. Please check the map for an accurate identification of the natural area.
3 answers