Answer :
Sure, let's go through the steps to solve each part of the question.
### 1.1 (a) At what time and on which day will Jerry arrive in Durban?
1. Departure Time in Durban: Jerry departs from Melbourne at 14:34 on Wednesday as per Durban's time.
2. Flight Duration: The flight lasts for 12 hours and 55 minutes.
3. Calculating Arrival Time in Durban:
- Start from 14:34 and add 12 hours to get 26:34, which is equivalent to 02:34 the next day (Thursday).
- Add the remaining 55 minutes to 02:34, resulting in 03:29 on Thursday.
4. Arrival in Durban: Therefore, Jerry arrives in Durban at 03:29 on Thursday.
### 1.1 (b) What will be the time and date in Melbourne when he arrives in Durban?
1. Time Difference: The time difference between Durban and Melbourne is 7 hours (Melbourne is ahead).
2. Arrival Time in Durban: Jerry arrives in Durban at 03:29 on Thursday.
3. Calculating Time in Melbourne:
- Subtract 7 hours from 03:29 (Durban time) to find the time in Melbourne:
- Convert 03:29 to 26:29 (add 24 hours to handle subtraction), then subtract 7 hours, which results in 19:29.
- Therefore, the time in Melbourne is 10:05 on Wednesday.
4. Result: So, when Jerry arrives in Durban at 03:29 on Thursday, the time in Melbourne is 10:05 on Wednesday.
### 1.1 (c) Calculate the longitude for Melbourne
1. Known Longitude of Durban: Durban is at 31 degrees East.
2. Time Zone Difference: The time difference of 8 hours corresponds to different longitudes (1 hour time difference = 15 degrees of longitude).
3. Calculating Melbourne's Longitude:
- Since Melbourne is ahead by 8 hours, we add [tex]\(8 \times 15 = 120\)[/tex] degrees to Durban's longitude.
- [tex]\(31 + 120 = 151\)[/tex]
4. Result: The longitude for Melbourne is approximately 151 degrees East.
### 1.2 Draw a contour map to represent a mountain saddle.
Creating a contour map involves showing contour lines that represent elevations. A saddle is a low point between two higher points. In a contour map, the saddle would appear as lines bending inward between two peaks, resembling an hourglass shape. Since this is a text solution, it's best to practice drawing such maps using available tools and resources.
### 1.3 In a scale of 1:120000, how many centimeters on a map represent 3 km on the ground?
1. Understand the Scale: A scale of 1:120000 means 1 cm on the map equals 120,000 cm on the ground.
2. Converting 3 km to cm:
- 3 km = 300,000 cm.
3. Calculate Map Distance:
- Map distance in cm = 300,000 / 120,000 = 2.5 cm.
4. Result: 3 km on the ground is represented by 2.5 cm on the map.
### 1.4 Express as cm-per-km scale: 1:60000
1. Understanding the Scale: A 1:60000 scale means 1 cm on the map represents 60,000 cm on the ground.
2. Convert to cm-per-km:
- 1 km = 100,000 cm.
- Therefore, 1 cm on the map represents 60,000 cm: 100,000/60,000 = 1.6667.
3. Result: The cm-per-km scale is approximately 1.67 cm per km.
These solutions cover each part of the question thoroughly. Let me know if there's anything else you'd like to understand!
### 1.1 (a) At what time and on which day will Jerry arrive in Durban?
1. Departure Time in Durban: Jerry departs from Melbourne at 14:34 on Wednesday as per Durban's time.
2. Flight Duration: The flight lasts for 12 hours and 55 minutes.
3. Calculating Arrival Time in Durban:
- Start from 14:34 and add 12 hours to get 26:34, which is equivalent to 02:34 the next day (Thursday).
- Add the remaining 55 minutes to 02:34, resulting in 03:29 on Thursday.
4. Arrival in Durban: Therefore, Jerry arrives in Durban at 03:29 on Thursday.
### 1.1 (b) What will be the time and date in Melbourne when he arrives in Durban?
1. Time Difference: The time difference between Durban and Melbourne is 7 hours (Melbourne is ahead).
2. Arrival Time in Durban: Jerry arrives in Durban at 03:29 on Thursday.
3. Calculating Time in Melbourne:
- Subtract 7 hours from 03:29 (Durban time) to find the time in Melbourne:
- Convert 03:29 to 26:29 (add 24 hours to handle subtraction), then subtract 7 hours, which results in 19:29.
- Therefore, the time in Melbourne is 10:05 on Wednesday.
4. Result: So, when Jerry arrives in Durban at 03:29 on Thursday, the time in Melbourne is 10:05 on Wednesday.
### 1.1 (c) Calculate the longitude for Melbourne
1. Known Longitude of Durban: Durban is at 31 degrees East.
2. Time Zone Difference: The time difference of 8 hours corresponds to different longitudes (1 hour time difference = 15 degrees of longitude).
3. Calculating Melbourne's Longitude:
- Since Melbourne is ahead by 8 hours, we add [tex]\(8 \times 15 = 120\)[/tex] degrees to Durban's longitude.
- [tex]\(31 + 120 = 151\)[/tex]
4. Result: The longitude for Melbourne is approximately 151 degrees East.
### 1.2 Draw a contour map to represent a mountain saddle.
Creating a contour map involves showing contour lines that represent elevations. A saddle is a low point between two higher points. In a contour map, the saddle would appear as lines bending inward between two peaks, resembling an hourglass shape. Since this is a text solution, it's best to practice drawing such maps using available tools and resources.
### 1.3 In a scale of 1:120000, how many centimeters on a map represent 3 km on the ground?
1. Understand the Scale: A scale of 1:120000 means 1 cm on the map equals 120,000 cm on the ground.
2. Converting 3 km to cm:
- 3 km = 300,000 cm.
3. Calculate Map Distance:
- Map distance in cm = 300,000 / 120,000 = 2.5 cm.
4. Result: 3 km on the ground is represented by 2.5 cm on the map.
### 1.4 Express as cm-per-km scale: 1:60000
1. Understanding the Scale: A 1:60000 scale means 1 cm on the map represents 60,000 cm on the ground.
2. Convert to cm-per-km:
- 1 km = 100,000 cm.
- Therefore, 1 cm on the map represents 60,000 cm: 100,000/60,000 = 1.6667.
3. Result: The cm-per-km scale is approximately 1.67 cm per km.
These solutions cover each part of the question thoroughly. Let me know if there's anything else you'd like to understand!
