To calculate the gradient between spot height 1369 in block E1 and spot height 1593 in block E2 using the provided formula, we first need to determine the vertical distance and the horizontal distance.
Step 1: Calculate the vertical distance
The vertical distance can be calculated by subtracting the lower spot height from the higher one:
\[ \text{Vertical Distance} = \text{Higher Spot Height} - \text{Lower Spot Height} \]
In this case:
\[ \text{Vertical Distance} = 1593 - 1369 = 224 \text{ meters} \]
Step 2: Calculate the horizontal distance
The horizontal distance provided is 4.5 cm. We need to convert this to meters, as the vertical distance is in meters.
1 cm = 0.01 m, so:
\[ \text{Horizontal Distance} = 4.5 \text{ cm} \times 0.01 \text{ m/cm} = 0.045 \text{ m} \]
Step 3: Use the formula to calculate the gradient
Now, we can substitute the values into the gradient formula:
\[ \text{Gradient} = \frac{\text{Vertical Distance}}{\text{Horizontal Distance}} = \frac{224 \text{ meters}}{0.045 \text{ meters}} \]
Step 4: Calculate the gradient
Now, performing the division:
\[ \text{Gradient} = \frac{224}{0.045} \approx 4977.78 \]
Conclusion
The gradient between the two spot heights is approximately 4977.78. This means that for every meter of horizontal distance, the elevation increases by about 4977.78 meters (which is quite steep).
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