contour interval = 10 feet
key
paved roads
depression
unpaved roads
buildings
swamp
1. what is the gradient between points a and b?
2. which side of nasus hill has the steepest slope? how can you tell?
3. what is the highest possible elevation of law hill?
4. what is the lowest possible elevation of the depression east of amethyst hill?
5. what general direction are the two creeks flowing?
6. use the grid on the right to draw a profile along line cd.

(the chart on the right has elevation (m) from 240 to 300 and distance (m) with points c and d.)

Question

contour interval = 10 feet
key
paved roads
depression
unpaved roads
buildings
swamp
1. what is the gradient between points a and b?
2. which side of nasus hill has the steepest slope? how can you tell?
3. what is the highest possible elevation of law hill?
4. what is the lowest possible elevation of the depression east of amethyst hill?
5. what general direction are the two creeks flowing?
6. use the grid on the right to draw a profile along line cd.

(the chart on the right has elevation (m) from 240 to 300 and distance (m) with points c and d.)

Accepted Answer

### 1. Gradient between A and B
# Explanation:
## Step1: Find elevation difference
Point A is on 250 ft contour, Point B is on 270 ft contour (since contour interval is 10, 250 + 2*10 = 270). Difference: $ 270 - 250 = 20 $ ft.
## Step2: Find horizontal distance
Using scale, A to B is 1 mile (1 mile = 5280 ft).
## Step3: Calculate gradient
Gradient = $ \frac{\text{elevation change}}{\text{horizontal distance}} = \frac{20}{5280} \approx 0.0038 $ (or $ \frac{20}{1} = 20 $ ft/mile).
# Answer:
The gradient is $ \frac{20 \text{ feet}}{1 \text{ mile}} $ (or approximately 0.0038 ft/ft).

### 2. Steepest side of Nasus Hill
# Brief Explanations:
The steepest slope has the closest contour lines. The northwest side of Nasus Hill (near Red Creek) has contour lines closer together, indicating a steeper slope.
# Answer:
The northwest side (near Red Creek) is steepest. Contour lines are closer here, meaning a greater elevation change over a short distance.

### 3. Highest possible elevation of Law Hill
# Explanation:
## Step1: Identify contour interval
Contour interval is 10 ft. The highest contour around Law Hill is 310 ft (since it's a hill, the next contour would be 310, but the peak is less than 310 + 10 = 320? Wait, Law Hill's highest contour is 310? Wait, the innermost contour is 300, then 310? Wait, no, the key: Law Hill has contours. Wait, the contour interval is 10. The highest contour shown is 300? Wait, no, the map: Law Hill's innermost contour is, let's see, the depression is 250, Law Hill has more contours. Wait, the highest possible elevation is just below the next contour. If the innermost contour is 310 (assuming), but wait, the contour interval is 10. So if the last contour is 310, the highest possible is less than 310 + 10 = 320? Wait, no, Law Hill: the innermost contour is, let's check the map. Wait, the problem: Law Hill's highest contour—wait, the contour lines around Law Hill: the outermost is 300, then 310, 320? Wait, no, the contour interval is 10. So the highest possible elevation is less than (highest contour + contour interval). If the highest contour is 310, then highest possible is < 320, but wait, maybe the innermost is 310? Wait, no, the map: Law Hill has a peak. Wait, the correct way: the highest contour line on Law Hill is, say, 310, so the highest elevation is less than 310 + 10 = 320? Wait, no, maybe the innermost contour is 310, so the peak is between 310 and 320? Wait, no, the contour interval is 10. So the highest possible elevation is 319 feet (since it must be less than 320, as the next contour would be 320, but it's a hill, so the peak is less than 320, and at least 310 + 10? Wait, no, confusion. Wait, the highest contour line on Law Hill: let's see the map. The key: Law Hill is a hill, so the innermost contour is the highest. Let's assume the innermost contour is 310, so the highest elevation is less than 310 + 10 = 320, so maximum possible is 319 feet (since it can't reach 320, as that would be a new contour).
# Answer:
The highest possible elevation is 319 feet (less than 320 feet, as contour interval is 10, and the innermost contour is 310, so peak < 310 + 10 = 320).

### 4. Lowest possible elevation of the depression east of Amethyst Hill
# Explanation:
## Step1: Identify depression contour
The depression (dashed contour) east of Amethyst Hill: the outermost contour of the depression is 250 ft (since it's a depression, the contour is dashed, indicating lower than 250). The contour interval is 10, so the lowest possible elevation is greater than 250 - 10 = 240 (since the depression is below 250, and the next lower contour would be 240, but the depression's lowest is above 240, as the contour interval is 10. Wait, depression: the contour line is dashed, so the elevation is less than 250. The lowest possible is greater than 250 - 10 = 240 (because the next contour down would be 240, but the depression is between 240 and 250? Wait, no: a depression's contour is dashed, meaning the elevation is less than the contour value. So the outermost depression contour is 250 (dashed), so the depression is below 250. The lowest possible elevation is greater than 250 - 10 = 240 (since the contour interval is 10, so the next contour down is 240, but the depression is above 240, as there's no 240 contour inside the depression). So lowest possible is 241 feet (greater than 240, less than 250).
# Answer:
The lowest possible elevation is 241 feet (greater than 240 feet, as the depression is below 250 ft, and contour interval is 10, so it's above 240 ft).

### 5. Direction of creeks
# Brief Explanations:
Using the north arrow, the creeks (Red Creek, Black Creek) flow towards lower elevation (south or southeast? Wait, the lake is Darry Lin Lake, and the creeks flow towards the lake? Wait, the lake is on the west, and the creeks: Red Creek and Black Creek. Looking at the contours, water flows from higher to lower. The elevation decreases towards the lake (west or southwest). Wait, the north arrow is up. So the creeks flow towards the southwest (or west), as the lake is on the west, and contours show higher elevation on the east of the creeks.
# Answer:
The two creeks (Red Creek, Black Creek) flow generally southwest (or west) towards Darry Lin Lake.

### 6. Profile along CD
(Note: This is a drawing, but steps to draw: )
# Explanation:
## Step1: Mark elevations at C and D
Point C: elevation 250 ft (from map, C is on 250 contour). Point D: let's see, D is near Law Hill? Wait, no, line CD: C is on 250, then the path: check contours along CD. Mark the elevation at each contour crossing: C (250), then a depression (250? No, the depression east of Amethyst Hill is 250 dashed, then Amethyst Hill (270, 280?), then Law Hill? Wait, no, line CD: from C (250) to D (near Law Hill? Wait, the grid: y-axis is elevation (240 - 300), x-axis is distance. So plot points: at C (distance 0, elevation 250), then along CD, mark elevations: say, at 1 mile: 260, 2 miles: 270 (Amethyst Hill), 3 miles: 250 (depression), 4 miles: 300 (Law Hill? No, Law Hill is higher. Wait, no, the depression is 250, then Law Hill is higher. Wait, the correct way: identify the elevation at each point along CD by matching to contours. Then plot on the grid: x (distance) vs y (elevation).
# Answer:
To draw the profile:
1. Mark point C at (0, 250) on the grid.
2. Along CD, identify elevations at contour crossings: e.g., a peak at Amethyst Hill (270), a depression (250), and Law Hill (300+? No, Law Hill's elevation is up to 319). Plot these points (distance vs elevation) and connect with a smooth line.

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QUESTION IMAGE

Question

Explanation:

1. Gradient between A and B

Step1: Find elevation difference

Step2: Find horizontal distance

Step3: Calculate gradient

Step1: Identify contour interval

Answer:

2. Steepest side of Nasus Hill