8 Drawing Contour Lines Worksheet - Free PDF at worksheeto.com - Free Printable
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Step-by-step solution for: 8 Drawing Contour Lines Worksheet - Free PDF at worksheeto.com
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Show Answer Key & Explanations
Step-by-step solution for: 8 Drawing Contour Lines Worksheet - Free PDF at worksheeto.com
Let's solve the topographic map problem step by step.
---
- Contour lines connect points of equal elevation.
- The contour interval is the difference in elevation between adjacent contour lines.
- Elevations increase toward the center of closed contour lines (a hill).
- The innermost labeled contour line is 1100 feet, and the outermost labeled one is 500 feet.
- We can determine the contour interval by finding the difference between two labeled contours and dividing by the number of intervals between them.
---
We see:
- The innermost labeled contour is 1100 ft.
- The outermost labeled contour is 500 ft.
- Count the number of contour lines between 1100 and 500:
From the map, there are 6 contour lines from 500 to 1100 (including both ends).
So:
- Elevation difference = 1100 - 500 = 600 feet
- Number of intervals between them = 5 (since 6 lines make 5 gaps)
- Contour interval = 600 ÷ 5 = 120 feet
✔ Contour Interval = 120 feet
Now we know each contour line increases by 120 feet.
---
Starting from the outermost labeled line (500 ft), add 120 ft per line moving inward:
- Outermost: 500 ft
- Next: 500 + 120 = 620 ft
- Next: 620 + 120 = 740 ft
- Next: 740 + 120 = 860 ft
- Next: 860 + 120 = 980 ft
- Next: 980 + 120 = 1100 ft → matches the labeled innermost contour
So the contour lines (from outside in) are:
- 500, 620, 740, 860, 980, 1100
---
#### Point A
- Located on the outermost contour line, which is labeled 500 ft
- ✔ Elevation of A = 500 feet
#### Point B
- Lies on the 980 ft contour line (the second from the inside)
- ✔ Elevation of B = 980 feet
#### Point C
- Lies between the 740 ft and 860 ft contour lines
- But it is closer to 860 ft than 740 ft
- However, since it’s not on a contour line, we estimate based on position.
But wait — actually, let's look again. Is point C on a contour line?
Looking at the map: Point C lies directly on the 860 ft contour line (the third from the outside). It's placed exactly on the curve.
✔ Elevation of C = 860 feet
#### Point D
- Lies on the 620 ft contour line (second from the outside)
- ✔ Elevation of D = 620 feet
---
- Point A: 500 feet
- Point B: 980 feet
- Point C: 860 feet
- Point D: 620 feet
---
We calculated earlier:
- Difference between 500 and 1100 = 600 ft over 5 intervals → 600 ÷ 5 = 120 feet
✔ Contour Interval = 120 feet
---
This refers to the point where line AB crosses a contour line — but more precisely, it likely means the elevation at point X, which is not labeled, but the question says "the point on line A to B".
Wait — looking back: The original prompt mentions Points A, B, C, D, and X.
But X is not shown on the map in your image.
However, line A to B is drawn, and it crosses several contour lines.
But the question asks: "What is the elevation at the point on line A to B?" — this is ambiguous unless there's a specific point labeled.
But perhaps it's referring to point X, which may be implied or missing.
Alternatively, maybe the question is asking for the elevation at the intersection of line AB with a certain contour.
But since no point X is visible, and the only labeled points are A, B, C, D, it's possible that the question intends for us to find the elevation at point B, but that’s already answered.
Wait — re-examining the image: There is no point X marked. So perhaps the question is misstated, or point X is meant to be the intersection of line AB with a contour line.
But the most likely interpretation is that "the point on line A to B" refers to point B, but that would be redundant.
Alternatively, perhaps "the point on line A to B" is where line AB crosses a contour line, and we're supposed to read an elevation along that line.
But without a specific point, it's hard.
Wait — perhaps point X was intended to be on line AB, but it's not shown.
Given the ambiguity, and since point B is on line AB and its elevation is 980 ft, and A is 500 ft, and the line crosses multiple contours, perhaps the question wants the elevation at the highest point on line AB, which is B.
But that seems redundant.
Alternatively, maybe the question is asking for the elevation at the point where line AB crosses the 740 ft contour — but no such point is labeled.
Wait — perhaps point X is meant to be where line AB intersects the 740 ft contour, but it's not labeled.
Since the image does not show point X, and the question mentions it, but it's missing, we must assume it's a typo or omission.
But let’s reconsider: Maybe point X is the same as point B? No, because B is already labeled.
Alternatively, perhaps "the point on line A to B" refers to the midpoint or some unspecified location.
But given the lack of clarity, and since point B is on the line and has a known elevation, and no other point is specified, it's likely that the question is asking for the elevation at point B, which is 980 feet.
But that’s already covered.
Alternatively, perhaps the question is asking for the elevation at the point where line AB crosses the 860 ft contour — but again, no label.
Wait — looking carefully: Line AB starts at A (500 ft), goes up through 620, 740, 860, and ends at B (980 ft).
So if the question is asking for the elevation at the point on line A to B, and no specific point is named, it might be a mistake.
But since point X is mentioned in the instructions, and it's not on the map, perhaps the question is incomplete.
However, in many such worksheets, point X is often placed at the intersection of line AB with a contour line, and you’re supposed to estimate.
But since X is not visible, and the only labeled points are A, B, C, D, we must assume that the question is asking for the elevation at point B, or perhaps the elevation at the highest point on the line, which is 980 ft.
Alternatively, perhaps the question is asking for the elevation at the point where line AB crosses the 740 ft contour — but that’s not labeled.
Given the ambiguity, and since point B is on line AB, and the elevation is 980 ft, and it's the end of the line, I think the intended answer is 980 feet, assuming "the point" refers to point B.
But that seems redundant.
Wait — perhaps point X is point B? Unlikely.
Another possibility: In some versions of this map, point X is located on line AB between A and B, and you have to interpolate.
But since X is not visible, and the map shows only A, B, C, D, we must conclude that either the question is missing information, or it's asking for the elevation at point B.
But let’s re-read: "What is the elevation at the point on line A to B?"
This is poorly worded. But if we interpret it as the elevation at point B, then:
✔ Answer: 980 feet
Alternatively, if the question meant the elevation at the point where line AB crosses the 860 ft contour, then that would be 860 feet, but no point is labeled there.
Given the lack of clarity, and since point B is on the line and has a clear elevation, and it's the only point on AB with a defined elevation, we'll go with:
> The elevation at point B (which lies on line AB) is 980 feet.
But to be precise, perhaps the question wants the elevation at the point where line AB crosses the 740 ft contour — but again, not labeled.
Alternatively, perhaps point X is meant to be the highest point on the hill, but that's 1100 ft, and it's not on AB.
No, AB goes from 500 to 980, so it doesn't reach the summit.
So line AB does not pass through the summit.
Therefore, the highest point on AB is B at 980 ft.
So the elevation at the point on line A to B — if interpreted as the highest point — is 980 feet.
---
1) Elevations:
- Point A: 500 feet
- Point B: 980 feet
- Point C: 860 feet
- Point D: 620 feet
2) Contour Interval: 120 feet
3) Elevation at the point on line A to B:
Assuming it refers to point B, the answer is 980 feet
(If point X were labeled on line AB, we'd need to interpolate, but since it's not, 980 feet is the best answer.)
---
| Question | Answer |
|--------|--------|
| 1) Point A | 500 ft |
| 1) Point B | 980 ft |
| 1) Point C | 860 ft |
| 1) Point D | 620 ft |
| 2) Contour Interval | 120 ft |
| 3) Elevation on line A to B | 980 ft (at point B) |
Let me know if you have a version of the map with point X labeled — that would clarify question 3.
---
Understanding Topographic Maps:
- Contour lines connect points of equal elevation.
- The contour interval is the difference in elevation between adjacent contour lines.
- Elevations increase toward the center of closed contour lines (a hill).
- The innermost labeled contour line is 1100 feet, and the outermost labeled one is 500 feet.
- We can determine the contour interval by finding the difference between two labeled contours and dividing by the number of intervals between them.
---
Step 1: Determine the Contour Interval
We see:
- The innermost labeled contour is 1100 ft.
- The outermost labeled contour is 500 ft.
- Count the number of contour lines between 1100 and 500:
From the map, there are 6 contour lines from 500 to 1100 (including both ends).
So:
- Elevation difference = 1100 - 500 = 600 feet
- Number of intervals between them = 5 (since 6 lines make 5 gaps)
- Contour interval = 600 ÷ 5 = 120 feet
✔ Contour Interval = 120 feet
Now we know each contour line increases by 120 feet.
---
Step 2: Label the Contours
Starting from the outermost labeled line (500 ft), add 120 ft per line moving inward:
- Outermost: 500 ft
- Next: 500 + 120 = 620 ft
- Next: 620 + 120 = 740 ft
- Next: 740 + 120 = 860 ft
- Next: 860 + 120 = 980 ft
- Next: 980 + 120 = 1100 ft → matches the labeled innermost contour
So the contour lines (from outside in) are:
- 500, 620, 740, 860, 980, 1100
---
Step 3: Find Elevation of Each Point
#### Point A
- Located on the outermost contour line, which is labeled 500 ft
- ✔ Elevation of A = 500 feet
#### Point B
- Lies on the 980 ft contour line (the second from the inside)
- ✔ Elevation of B = 980 feet
#### Point C
- Lies between the 740 ft and 860 ft contour lines
- But it is closer to 860 ft than 740 ft
- However, since it’s not on a contour line, we estimate based on position.
But wait — actually, let's look again. Is point C on a contour line?
Looking at the map: Point C lies directly on the 860 ft contour line (the third from the outside). It's placed exactly on the curve.
✔ Elevation of C = 860 feet
#### Point D
- Lies on the 620 ft contour line (second from the outside)
- ✔ Elevation of D = 620 feet
---
Answer to Question 1:
- Point A: 500 feet
- Point B: 980 feet
- Point C: 860 feet
- Point D: 620 feet
---
Question 2: What is the contour interval?
We calculated earlier:
- Difference between 500 and 1100 = 600 ft over 5 intervals → 600 ÷ 5 = 120 feet
✔ Contour Interval = 120 feet
---
Question 3: What is the elevation at the point on line A to B?
This refers to the point where line AB crosses a contour line — but more precisely, it likely means the elevation at point X, which is not labeled, but the question says "the point on line A to B".
Wait — looking back: The original prompt mentions Points A, B, C, D, and X.
But X is not shown on the map in your image.
However, line A to B is drawn, and it crosses several contour lines.
But the question asks: "What is the elevation at the point on line A to B?" — this is ambiguous unless there's a specific point labeled.
But perhaps it's referring to point X, which may be implied or missing.
Alternatively, maybe the question is asking for the elevation at the intersection of line AB with a certain contour.
But since no point X is visible, and the only labeled points are A, B, C, D, it's possible that the question intends for us to find the elevation at point B, but that’s already answered.
Wait — re-examining the image: There is no point X marked. So perhaps the question is misstated, or point X is meant to be the intersection of line AB with a contour line.
But the most likely interpretation is that "the point on line A to B" refers to point B, but that would be redundant.
Alternatively, perhaps "the point on line A to B" is where line AB crosses a contour line, and we're supposed to read an elevation along that line.
But without a specific point, it's hard.
Wait — perhaps point X was intended to be on line AB, but it's not shown.
Given the ambiguity, and since point B is on line AB and its elevation is 980 ft, and A is 500 ft, and the line crosses multiple contours, perhaps the question wants the elevation at the highest point on line AB, which is B.
But that seems redundant.
Alternatively, maybe the question is asking for the elevation at the point where line AB crosses the 740 ft contour — but no such point is labeled.
Wait — perhaps point X is meant to be where line AB intersects the 740 ft contour, but it's not labeled.
Since the image does not show point X, and the question mentions it, but it's missing, we must assume it's a typo or omission.
But let’s reconsider: Maybe point X is the same as point B? No, because B is already labeled.
Alternatively, perhaps "the point on line A to B" refers to the midpoint or some unspecified location.
But given the lack of clarity, and since point B is on the line and has a known elevation, and no other point is specified, it's likely that the question is asking for the elevation at point B, which is 980 feet.
But that’s already covered.
Alternatively, perhaps the question is asking for the elevation at the point where line AB crosses the 860 ft contour — but again, no label.
Wait — looking carefully: Line AB starts at A (500 ft), goes up through 620, 740, 860, and ends at B (980 ft).
So if the question is asking for the elevation at the point on line A to B, and no specific point is named, it might be a mistake.
But since point X is mentioned in the instructions, and it's not on the map, perhaps the question is incomplete.
However, in many such worksheets, point X is often placed at the intersection of line AB with a contour line, and you’re supposed to estimate.
But since X is not visible, and the only labeled points are A, B, C, D, we must assume that the question is asking for the elevation at point B, or perhaps the elevation at the highest point on the line, which is 980 ft.
Alternatively, perhaps the question is asking for the elevation at the point where line AB crosses the 740 ft contour — but that’s not labeled.
Given the ambiguity, and since point B is on line AB, and the elevation is 980 ft, and it's the end of the line, I think the intended answer is 980 feet, assuming "the point" refers to point B.
But that seems redundant.
Wait — perhaps point X is point B? Unlikely.
Another possibility: In some versions of this map, point X is located on line AB between A and B, and you have to interpolate.
But since X is not visible, and the map shows only A, B, C, D, we must conclude that either the question is missing information, or it's asking for the elevation at point B.
But let’s re-read: "What is the elevation at the point on line A to B?"
This is poorly worded. But if we interpret it as the elevation at point B, then:
✔ Answer: 980 feet
Alternatively, if the question meant the elevation at the point where line AB crosses the 860 ft contour, then that would be 860 feet, but no point is labeled there.
Given the lack of clarity, and since point B is on the line and has a clear elevation, and it's the only point on AB with a defined elevation, we'll go with:
> The elevation at point B (which lies on line AB) is 980 feet.
But to be precise, perhaps the question wants the elevation at the point where line AB crosses the 740 ft contour — but again, not labeled.
Alternatively, perhaps point X is meant to be the highest point on the hill, but that's 1100 ft, and it's not on AB.
No, AB goes from 500 to 980, so it doesn't reach the summit.
So line AB does not pass through the summit.
Therefore, the highest point on AB is B at 980 ft.
So the elevation at the point on line A to B — if interpreted as the highest point — is 980 feet.
---
✔ Final Answers:
1) Elevations:
- Point A: 500 feet
- Point B: 980 feet
- Point C: 860 feet
- Point D: 620 feet
2) Contour Interval: 120 feet
3) Elevation at the point on line A to B:
Assuming it refers to point B, the answer is 980 feet
(If point X were labeled on line AB, we'd need to interpolate, but since it's not, 980 feet is the best answer.)
---
🟩 Summary:
| Question | Answer |
|--------|--------|
| 1) Point A | 500 ft |
| 1) Point B | 980 ft |
| 1) Point C | 860 ft |
| 1) Point D | 620 ft |
| 2) Contour Interval | 120 ft |
| 3) Elevation on line A to B | 980 ft (at point B) |
Let me know if you have a version of the map with point X labeled — that would clarify question 3.
Parent Tip: Review the logic above to help your child master the concept of topographic maps worksheet.