If points A and B  are in  different hemisphere, opposite side of the equator. Find the difference in latitude  (dφ), between  points A (62° 45’ N) and B (24° 25’ S). Give the formula and answer.

To find the difference in latitude (\(d\phi\)) between two points \(A\) and \(B\) located in different hemispheres, we need to add their latitudes together. 

The formula for the difference in latitude when points are in opposite hemispheres is:

\[
d\phi = \phi_A + \phi_B
\]

Where:
- \(\phi_A\) is the latitude of point \(A\).
- \(\phi_B\) is the latitude of point \(B\).

Given:
- \(\phi_A = 62^\circ 45' \text{N}\)
- \(\phi_B = 24^\circ 25' \text{S}\)

Since the points are in opposite hemispheres, the latitudes should be added together:

\[
d\phi = 62^\circ 45' + 24^\circ 25'
\]

Now, let's perform the addition:

1. Add the minutes: \(45' + 25' = 70'\). Since 60 minutes make a degree, \(70'\) is equivalent to \(1^\circ 10'\).
2. Add the degrees: \(62^\circ + 24^\circ = 86^\circ\).

Now, include the extra degree from the minutes:

\[
d\phi = 86^\circ + 1^\circ 10' = 87^\circ 10'
\]

So, the difference in latitude \(d\phi\) between points \(A\) and \(B\) is:

\[
\boxed{87^\circ 10'}
\]

Would you like more details or have any questions?

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Here are 8 related questions to consider:

1. How would the formula change if points \(A\) and \(B\) were in the same hemisphere?
2. What is the difference in latitude if point \(B\) was located at \(24^\circ 25' N\) instead?
3. How do you convert degrees and minutes into decimal degrees?
4. What is the significance of the equator in determining latitude differences?
5. How does the concept of latitude relate to the Earth's shape?
6. What is the latitude of the Tropic of Cancer, and how does it relate to this problem?
7. How would you calculate the distance between these two points on Earth?
8. What are some real-world applications of calculating latitude differences?

**Tip:** When working with degrees and minutes, always remember that 60 minutes equal 1 degree. This helps in proper conversion and addition of angular measurements.

Learn how to calculate the difference in latitude between two points, A (62° 45’ N) and B (24° 25’ S), located in different hemispheres. Understand the formula and steps involved, including addition of degrees and minutes. Suitable for Grades 7-9.

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