Contour Map Worksheet #4 Worksheet for 7th - 12th Grade | Lesson ... - Free Printable
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Step-by-step solution for: Contour Map Worksheet #4 Worksheet for 7th - 12th Grade | Lesson ...
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Step-by-step solution for: Contour Map Worksheet #4 Worksheet for 7th - 12th Grade | Lesson ...
Since the user has not enabled any of the optional modes (ExplainAnswer, TeachTopic, or GeneratePractice), I will proceed directly to solving the problem based on the visible instructions in the image.
The worksheet asks for three specific tasks based on the provided topographic map:
1. State the general direction in which Clear Creek is flowing.
2. Identify the highest possible elevation for point X.
3. Calculate the gradient between points A and B.
I will solve these one by one.
---
* Rule: Water always flows downhill. On a topographic map, "V" shaped contour lines that cross a river always point upstream (towards higher elevation).
* Observation: Look at the line labeled "Clear Creek". Notice the contour lines crossing it. The "V" shapes formed by the contour lines are pointing towards the top-left of the map.
* Deduction: Since the Vs point upstream (Northwest), the water must be flowing in the opposite direction.
* Conclusion: The creek is flowing from the Northwest towards the Southeast.
* Analyze Contour Interval: First, look at the numbers on the map. We see `6000`, `7000`, etc. There are 5 spaces between the 6000 ft line and the 7000 ft line.
* Calculation: $(7000 - 6000) / 5 = 200$.
* The contour interval is 200 feet.
* Locate Point X: Point X is located near the top left.
* Trace the lines: Find the nearest numbered line. The line closest to X is the `8000` foot line (going up from 6000 -> 7000 -> 8000).
* Check the next line: Inside the 8000 line, there is another closed loop before we reach point X. This means the ground goes up again. That inner loop represents an elevation of $8000 + 200 = 8200$ feet.
* Determine Range: Point X sits inside the 8200 ft contour line but outside the next hypothetical line (which would be 8400 ft). Therefore, its elevation is somewhere between 8200 and 8400.
* Highest Possible Value: The question asks for the *highest possible* elevation. In standard map reading rules, if you haven't reached the next line, the maximum value is just one foot less than that next line.
* Next line potential: 8400 ft.
* Max elevation: 8399 ft.
*(Self-Correction/Refinement: Sometimes simpler worksheets accept "just under 8400" or round to the nearest interval, but strictly speaking, the highest integer value is 8399).*
* Formula: $\text{Gradient} = \frac{\text{Change in Elevation}}{\text{Distance}}$
* Step A: Find Elevations
* Point A: Located exactly on the `7000` foot contour line. So, $Elev_A = 7000$ ft.
* Point B: Located on the contour line immediately below A. Since the interval is 200 ft, the line below 7000 is 6800. Wait, let's re-examine the flow.
* Let's check the slope direction again. The creek is at roughly 6000-6400. Point A is higher up. Point B is further up the hill? No, looking closely at the letter placement...
* Actually, let's look at the grid.
* Point A is on the line labeled 7000.
* Point B is on the line labeled 6400 (counting down from 7000: 6800, 6600, 6400). Or perhaps it is on the 6600 line? Let's count carefully.
* Line with A: 7000.
* Line below A: 6800.
* Line below that: 6600.
* Point B appears to be on the 6600 line.
* *Alternative interpretation:* If B is lower, elevation change is $7000 - 6600 = 400$ ft.
* *Let's check the distance scale.* The bar scale shows 0 to 2 miles.
* Step B: Measure Distance
* Visually measuring the distance between A and B using the scale bar.
* The distance looks to be approximately 1 mile. (It spans about half the length of the 2-mile bar).
* Step C: Calculate
* Change in Elevation ($\Delta h$): $7000 - 6600 = 400$ ft.
* Distance ($d$): 1 mile.
* Gradient = $400 \text{ ft} / 1 \text{ mi} = 400 \text{ ft/mi}$.
*Let's double-check the visual estimation.*
If A is at 7000 and B is at 6800 (closer line), the difference is 200.
If distance is 1 mile, gradient is 200.
If distance is 0.5 miles, gradient is 400.
Looking very closely at crop 1:
Point A is on the line labeled 7000.
Point B is on the line labeled 6800 (the line right next to it).
So $\Delta h = 200$ ft.
Distance: The distance between them looks to be about 0.5 miles (half of the 1-mile mark on the scale).
Calculation: $200 \text{ ft} / 0.5 \text{ mi} = 400 \text{ ft/mi}$.
This seems consistent.
Final Answer:
1. Southeast (Water flows opposite the "V" shape of the contour lines).
2. 8399 ft (Point X is inside the 8200 ft contour line; the next line would be 8400 ft, so the max height is just under that).
3. 400 ft/mi (Change in elevation is 200 ft over a distance of approximately 0.5 miles).
The worksheet asks for three specific tasks based on the provided topographic map:
1. State the general direction in which Clear Creek is flowing.
2. Identify the highest possible elevation for point X.
3. Calculate the gradient between points A and B.
I will solve these one by one.
---
Task 1: Direction of Clear Creek Flow
* Rule: Water always flows downhill. On a topographic map, "V" shaped contour lines that cross a river always point upstream (towards higher elevation).
* Observation: Look at the line labeled "Clear Creek". Notice the contour lines crossing it. The "V" shapes formed by the contour lines are pointing towards the top-left of the map.
* Deduction: Since the Vs point upstream (Northwest), the water must be flowing in the opposite direction.
* Conclusion: The creek is flowing from the Northwest towards the Southeast.
Task 2: Highest Possible Elevation of Point X
* Analyze Contour Interval: First, look at the numbers on the map. We see `6000`, `7000`, etc. There are 5 spaces between the 6000 ft line and the 7000 ft line.
* Calculation: $(7000 - 6000) / 5 = 200$.
* The contour interval is 200 feet.
* Locate Point X: Point X is located near the top left.
* Trace the lines: Find the nearest numbered line. The line closest to X is the `8000` foot line (going up from 6000 -> 7000 -> 8000).
* Check the next line: Inside the 8000 line, there is another closed loop before we reach point X. This means the ground goes up again. That inner loop represents an elevation of $8000 + 200 = 8200$ feet.
* Determine Range: Point X sits inside the 8200 ft contour line but outside the next hypothetical line (which would be 8400 ft). Therefore, its elevation is somewhere between 8200 and 8400.
* Highest Possible Value: The question asks for the *highest possible* elevation. In standard map reading rules, if you haven't reached the next line, the maximum value is just one foot less than that next line.
* Next line potential: 8400 ft.
* Max elevation: 8399 ft.
*(Self-Correction/Refinement: Sometimes simpler worksheets accept "just under 8400" or round to the nearest interval, but strictly speaking, the highest integer value is 8399).*
Task 3: Gradient between Points A and B
* Formula: $\text{Gradient} = \frac{\text{Change in Elevation}}{\text{Distance}}$
* Step A: Find Elevations
* Point A: Located exactly on the `7000` foot contour line. So, $Elev_A = 7000$ ft.
* Point B: Located on the contour line immediately below A. Since the interval is 200 ft, the line below 7000 is 6800. Wait, let's re-examine the flow.
* Let's check the slope direction again. The creek is at roughly 6000-6400. Point A is higher up. Point B is further up the hill? No, looking closely at the letter placement...
* Actually, let's look at the grid.
* Point A is on the line labeled 7000.
* Point B is on the line labeled 6400 (counting down from 7000: 6800, 6600, 6400). Or perhaps it is on the 6600 line? Let's count carefully.
* Line with A: 7000.
* Line below A: 6800.
* Line below that: 6600.
* Point B appears to be on the 6600 line.
* *Alternative interpretation:* If B is lower, elevation change is $7000 - 6600 = 400$ ft.
* *Let's check the distance scale.* The bar scale shows 0 to 2 miles.
* Step B: Measure Distance
* Visually measuring the distance between A and B using the scale bar.
* The distance looks to be approximately 1 mile. (It spans about half the length of the 2-mile bar).
* Step C: Calculate
* Change in Elevation ($\Delta h$): $7000 - 6600 = 400$ ft.
* Distance ($d$): 1 mile.
* Gradient = $400 \text{ ft} / 1 \text{ mi} = 400 \text{ ft/mi}$.
*Let's double-check the visual estimation.*
If A is at 7000 and B is at 6800 (closer line), the difference is 200.
If distance is 1 mile, gradient is 200.
If distance is 0.5 miles, gradient is 400.
Looking very closely at crop 1:
Point A is on the line labeled 7000.
Point B is on the line labeled 6800 (the line right next to it).
So $\Delta h = 200$ ft.
Distance: The distance between them looks to be about 0.5 miles (half of the 1-mile mark on the scale).
Calculation: $200 \text{ ft} / 0.5 \text{ mi} = 400 \text{ ft/mi}$.
This seems consistent.
Final Answer:
1. Southeast (Water flows opposite the "V" shape of the contour lines).
2. 8399 ft (Point X is inside the 8200 ft contour line; the next line would be 8400 ft, so the max height is just under that).
3. 400 ft/mi (Change in elevation is 200 ft over a distance of approximately 0.5 miles).
Parent Tip: Review the logic above to help your child master the concept of topographic map worksheet earth science.