QUESTION IMAGE
Question
locating places with lines of longitude
the exercises on this page will help you gain skill in locating places by longitude, and hemispheres. later, you will apply your knowledge of both latitude and longitude to locate places around the world.
- the lines of longitude on the diagram below are 15° apart. notice that some of the lines are not numbered, that there are blank boxes on those lines. study the numbers on the other lines, then print the proper numbers in the boxes.
- what are the longitudes of the following points shown on the map? remember: you must write e for east, or w for west to properly identify the location.
a ____ d __ g ____
b ____ e __ h ____
c ____ f __ i ____
- how many degrees of longitude are there between:
15°e and 45°e? ____________
30°w and 90°w? ____________
30°e and 30°w? ____________
- every place on earth is in two hemispheres (except for places on the prime meridian, 180° line of longitude, the equator or at the north and south poles).
in what two hemispheres is:
point d? ______________________
point h? ______________________
point g? ______________________
point c? ______________________
Response
Question 3:
Part 1: Between \( 15^\circ\text{E} \) and \( 45^\circ\text{E} \)
Step 1: Identify the formula
To find the difference in longitude, we subtract the smaller longitude from the larger one (since both are in the same hemisphere, East).
Step 2: Calculate the difference
\( 45^\circ - 15^\circ = 30^\circ \)
Part 2: Between \( 30^\circ\text{W} \) and \( 90^\circ\text{W} \)
Step 1: Identify the formula
Subtract the smaller longitude from the larger one (both in West hemisphere).
Step 2: Calculate the difference
\( 90^\circ - 30^\circ = 60^\circ \)
Part 3: Between \( 30^\circ\text{E} \) and \( 30^\circ\text{W} \)
Step 1: Identify the formula
When longitudes are in different hemispheres (East and West), we add their absolute values.
Step 2: Calculate the sum
\( 30^\circ + 30^\circ = 60^\circ \)
Question 4 (Assuming standard hemisphere divisions: Northern/Southern (latitude) and Eastern/Western (longitude), and using the diagram where the Prime Meridian (\( 0^\circ \)) divides East and West, and Equator (not shown but standard) divides North and South. Points above Equator (towards N) are Northern Hemisphere, below (towards S) are Southern Hemisphere):
Point D:
- Longitude: \( 30^\circ\text{W} \) (so Western Hemisphere)
- Latitude: Above Equator (towards N), so Northern Hemisphere
So, Northern and Western Hemispheres.
Point H:
- Longitude: \( 15^\circ\text{W} \) (Western Hemisphere)
- Latitude: Below Equator (towards S), so Southern Hemisphere
So, Southern and Western Hemispheres.
Point G:
- Longitude: \( 30^\circ\text{E} \) (Eastern Hemisphere)
- Latitude: Below Equator (towards S), so Southern Hemisphere
So, Southern and Eastern Hemispheres.
Point C:
- Longitude: \( 60^\circ\text{E} \) (Eastern Hemisphere)
- Latitude: Above Equator (towards N), so Northern Hemisphere
So, Northern and Eastern Hemispheres.
Question 2 (Longitudes of points):
- Point A: Longitude \( 60^\circ\text{W} \) (since each line is \( 15^\circ \) apart, moving west from \( 30^\circ\text{W} \), two more lines: \( 30 + 15 + 15 = 60^\circ\text{W} \))
- Point D: \( 30^\circ\text{W} \) (given by the diagram's label)
- Point G: \( 30^\circ\text{E} \) (given by the diagram's label, or moving east from \( 0^\circ \))
- Point B: \( 45^\circ\text{E} \) (moving east from \( 30^\circ\text{E} \), one more line: \( 30 + 15 = 45^\circ\text{E} \))
- Point E: \( 15^\circ\text{E} \) (given by the diagram's label)
- Point H: \( 15^\circ\text{W} \) (moving west from \( 0^\circ \), one line: \( 15^\circ\text{W} \))
- Point C: \( 60^\circ\text{E} \) (moving east from \( 30^\circ\text{E} \), two more lines: \( 30 + 15 + 15 = 60^\circ\text{E} \))
- Point F: \( 45^\circ\text{W} \) (moving west from \( 30^\circ\text{W} \), one more line: \( 30 + 15 = 45^\circ\text{W} \))
- Point I: \( 45^\circ\text{E} \) (same longitude as Point B, below Equator)
Question 1 (Filling the blank longitude boxes):
- West of \( 30^\circ\text{W} \): Each line is \( 15^\circ \) apart. So:
- First blank (leftmost): \( 30 + 15 = 45^\circ\text{W} \)
- Second blank: \( 45 + 15 = 60^\circ\text{W} \)
- Third blank: \( 60 + 15 = 75^\circ\text{W} \) (Wait, no, the diagram shows from \( 0^\circ \) west: \( 0^\circ \), \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), then next would be \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \)? Wait, the diagram's bottom has \( 0^\circ \) (Prime Meridian), then \( 15^\circ\text{W} \), \( 30^\circ\text{W} \) to the left (west), and \( 15^\circ\text{E} \), \( 30^\circ\text{E} \) to the right (east). Wait, maybe the labels are: From \( 0^\circ \) (Prime Meridian), moving west: \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)? But the diagram's bottom shows boxes left of \( 30^\circ\text{W} \): let's count the lines. From \( 0^\circ \) (Prime Meridian) west: first line \( 15^\circ\text{W} \), second \( 30^\circ\text{W} \), third \( 45^\circ\text{W} \), fourth \( 60^\circ\text{W} \), fifth \( 75^\circ\text{W} \), sixth \( 90^\circ\text{W} \)? Wait, the problem says "the lines of longitude on…
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Step 1: Identify the formula
When longitudes are in different hemispheres (East and West), we add their absolute values.
Step 2: Calculate the sum
\( 30^\circ + 30^\circ = 60^\circ \)
Question 4 (Assuming standard hemisphere divisions: Northern/Southern (latitude) and Eastern/Western (longitude), and using the diagram where the Prime Meridian (\( 0^\circ \)) divides East and West, and Equator (not shown but standard) divides North and South. Points above Equator (towards N) are Northern Hemisphere, below (towards S) are Southern Hemisphere):
Point D:
- Longitude: \( 30^\circ\text{W} \) (so Western Hemisphere)
- Latitude: Above Equator (towards N), so Northern Hemisphere
So, Northern and Western Hemispheres.
Point H:
- Longitude: \( 15^\circ\text{W} \) (Western Hemisphere)
- Latitude: Below Equator (towards S), so Southern Hemisphere
So, Southern and Western Hemispheres.
Point G:
- Longitude: \( 30^\circ\text{E} \) (Eastern Hemisphere)
- Latitude: Below Equator (towards S), so Southern Hemisphere
So, Southern and Eastern Hemispheres.
Point C:
- Longitude: \( 60^\circ\text{E} \) (Eastern Hemisphere)
- Latitude: Above Equator (towards N), so Northern Hemisphere
So, Northern and Eastern Hemispheres.
Question 2 (Longitudes of points):
- Point A: Longitude \( 60^\circ\text{W} \) (since each line is \( 15^\circ \) apart, moving west from \( 30^\circ\text{W} \), two more lines: \( 30 + 15 + 15 = 60^\circ\text{W} \))
- Point D: \( 30^\circ\text{W} \) (given by the diagram's label)
- Point G: \( 30^\circ\text{E} \) (given by the diagram's label, or moving east from \( 0^\circ \))
- Point B: \( 45^\circ\text{E} \) (moving east from \( 30^\circ\text{E} \), one more line: \( 30 + 15 = 45^\circ\text{E} \))
- Point E: \( 15^\circ\text{E} \) (given by the diagram's label)
- Point H: \( 15^\circ\text{W} \) (moving west from \( 0^\circ \), one line: \( 15^\circ\text{W} \))
- Point C: \( 60^\circ\text{E} \) (moving east from \( 30^\circ\text{E} \), two more lines: \( 30 + 15 + 15 = 60^\circ\text{E} \))
- Point F: \( 45^\circ\text{W} \) (moving west from \( 30^\circ\text{W} \), one more line: \( 30 + 15 = 45^\circ\text{W} \))
- Point I: \( 45^\circ\text{E} \) (same longitude as Point B, below Equator)
Question 1 (Filling the blank longitude boxes):
- West of \( 30^\circ\text{W} \): Each line is \( 15^\circ \) apart. So:
- First blank (leftmost): \( 30 + 15 = 45^\circ\text{W} \)
- Second blank: \( 45 + 15 = 60^\circ\text{W} \)
- Third blank: \( 60 + 15 = 75^\circ\text{W} \) (Wait, no, the diagram shows from \( 0^\circ \) west: \( 0^\circ \), \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), then next would be \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \)? Wait, the diagram's bottom has \( 0^\circ \) (Prime Meridian), then \( 15^\circ\text{W} \), \( 30^\circ\text{W} \) to the left (west), and \( 15^\circ\text{E} \), \( 30^\circ\text{E} \) to the right (east). Wait, maybe the labels are: From \( 0^\circ \) (Prime Meridian), moving west: \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)? But the diagram's bottom shows boxes left of \( 30^\circ\text{W} \): let's count the lines. From \( 0^\circ \) (Prime Meridian) west: first line \( 15^\circ\text{W} \), second \( 30^\circ\text{W} \), third \( 45^\circ\text{W} \), fourth \( 60^\circ\text{W} \), fifth \( 75^\circ\text{W} \), sixth \( 90^\circ\text{W} \)? Wait, the problem says "the lines of longitude on the diagram below are \( 15^\circ \) apart". So from \( 0^\circ \), westward: \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)? Wait, the diagram's bottom has boxes: left of \( 30^\circ\text{W} \) (three boxes) and right of \( 30^\circ\text{E} \) (three boxes). So:
- Left (West) boxes (from left to right, moving towards \( 30^\circ\text{W} \)):
- First (leftmost): \( 75^\circ\text{W} \) (Wait, no, maybe I got direction wrong. Let's think: \( 0^\circ \) is Prime Meridian. To the west (left) of \( 0^\circ \), longitudes increase as \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)... So the boxes left of \( 30^\circ\text{W} \) (i.e., more west) would be \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \)? Wait, no, the diagram shows at the bottom: \( \text{W } 0^\circ \) (left end) to \( \text{0}^\circ \text{ E} \) (right end). The lines are \( 15^\circ \) apart. So from \( 0^\circ \) (Prime Meridian) west: \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)... and east: \( 15^\circ\text{E} \), \( 30^\circ\text{E} \), \( 45^\circ\text{E} \), \( 60^\circ\text{E} \), \( 75^\circ\text{E} \), \( 90^\circ\text{E} \)... So the blank boxes left of \( 30^\circ\text{W} \) (three boxes) are \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \)? Wait, no, the diagram's labels: between \( 30^\circ\text{W} \) and \( 0^\circ \) is \( 15^\circ\text{W} \). So left of \( 30^\circ\text{W} \), the next lines are \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \) (each \( 15^\circ \) west of the previous). Similarly, right of \( 30^\circ\text{E} \), the next lines are \( 45^\circ\text{E} \), \( 60^\circ\text{E} \), \( 75^\circ\text{E} \).
So filling the boxes:
- West (left) boxes (from left to right): \( 75^\circ\text{W} \), \( 60^\circ\text{W} \), \( 45^\circ\text{W} \) (Wait, no, when moving from \( \text{W } 0^\circ \) (left end) towards \( 0^\circ \) (Prime Meridian), the longitudes decrease? No, \( 0^\circ \) is Prime Meridian. West longitudes are negative or measured as \( x^\circ\text{W} \), with larger \( x \) being more west. So the leftmost box is most west, so \( 90^\circ\text{W} \)? Wait, maybe the diagram has 12 lines (from \( 90^\circ\text{W} \) to \( 90^\circ\text{E} \), 12 lines, each \( 15^\circ \) apart: \( 90 - 15 \times 5 = 15 \), no. Wait, total longitude is \( 360^\circ \), but the diagram shows a hemisphere (maybe Northern or Southern), with lines from pole to pole. The problem says "the lines of longitude on the diagram below are \( 15^\circ \) apart". Let's count the lines: from \( 0^\circ \) (Prime Meridian) west: how many lines? The diagram shows at the bottom: \( \text{W } 0^\circ \), then three boxes, then \( 30^\circ\text{W} \), \( 15^\circ\text{W} \), \( 0^\circ \), \( 15^\circ\text{E} \), \( 30^\circ\text{E} \), then three boxes, then \( \text{0}^\circ \text{ E} \). So total lines: 3 (west boxes) + 3 (existing west: \( 30^\circ\text{W}, 15^\circ\text{W} \)) + 1 (0°) + 3 (existing east: \( 15^\circ\text{E}, 30^\circ\text{E} \)) + 3 (east boxes) = 13 lines? No, maybe 12 lines (from \( 90^\circ\text{W} \) to \( 90^\circ\text{E} \), 12 lines, each \( 15^\circ \) apart: \( 90 - 15 \times 5 = 15 \), no. Wait, \( 15^\circ \) apart, so from \( 90^\circ\text{W} \) to \( 90^\circ\text{E} \), there are \( \frac{180}{15} = 12 \) intervals, 13 lines. But the diagram shows from \( \text{W } 0^\circ \) (which is \( 90^\circ\text{W} \)? No, \( 0^\circ \) is Prime Meridian. I think I made a mistake. Let's re-express:
The Prime Meridian is \( 0^\circ \). Longitudes west of Prime Meridian are \( x^\circ\text{W} \), east are \( x^\circ\text{E} \). The lines are \( 15^\circ \) apart. So:
- West of \( 0^\circ \): \( 15^\circ\text{W} \), \( 30^\circ\text{W} \), \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \)
- East of \( 0^\circ \): \( 15^\circ\text{E} \), \( 30^\circ\text{E} \), \( 45^\circ\text{E} \), \( 60^\circ\text{E} \), \( 75^\circ\text{E} \), \( 90^\circ\text{E} \)
The diagram's bottom has boxes:
- Left (west) of \( 30^\circ\text{W} \): three boxes. So these are \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \) (wait, no, \( 30^\circ\text{W} \) is west of \( 0^\circ \), so more west is \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), \( 90^\circ\text{W} \). But the diagram's left end is labeled \( \text{W } 0^\circ \), which is confusing. Maybe \( \text{W } 0^\circ \) is a typo, and it's \( 90^\circ\text{W} \). So the boxes left of \( 30^\circ\text{W} \) (towards \( 90^\circ\text{W} \)) are \( 45^\circ\text{W} \), \( 60^\circ\text{W} \), \( 75^\circ\text{W} \), and the right end \( \text{0}^\circ \text{ E} \) is \( 90^\circ\text{E} \), with boxes right of \( 30^\circ\text{E} \) being \( 45^\circ\text{E} \), \( 60^\circ\text{E} \), \( 75^\circ\text{E} \).
So filling the west boxes (left to right, moving towards \( 30^\circ\text{W} \)): \( 75^\circ\text{W} \), \( 60^\circ\text{W} \), \( 45^\circ\text{W} \)
Filling the east boxes (right to left, moving towards \( 30^\circ\text{E} \)): \( 45^\circ\text{E} \), \( 60^\circ\text{E} \), \( 75^\circ\text{E} \)
Final Answers (Question 3):
- Between \( 15^\circ\text{E} \) and \( 45^\circ\text{E} \): \( \boldsymbol{30^\circ} \)
- Between \( 30^\circ\text{W} \) and \( 90^\circ\text{W} \): \( \boldsymbol{60^\circ} \)
- Between \( 30^\circ\text{E} \) and \( 30^\circ\text{W} \): \( \boldsymbol{60^\circ} \)
(For other questions, the answers are as derived above, but since the problem didn't specify which sub-question to solve, I focused on Question 3 as an example of calculation.)