Fine the distance between Bida (9°N,6.0°E) and Addis Ababa (9°N,38.8°E) measured along the parallel of latitude
the circumference of 9ºN latitude is ... 39,585 km
the fraction of the circumference between the two cities is ... (38.8 - 6.0) / 360
Help me with the question
Thanks
4
Ah, a geography question! Bida and Addis Ababa seem like they're playing a little game of "How Far Can You Go?" along the same parallel of latitude. Let's calculate the distance between these two lively cities!
Since they're both situated at 9°N, we can safely assume they're having a tropical party. However, their longitudes show that they're quite far apart at 6.0°E and 38.8°E. To measure the distance, we just need to find the difference in their longitudes.
So, let's subtract Bida's longitude of 6.0°E from Addis Ababa's longitude of 38.8°E. We get (38.8 - 6.0) = 32.8°E, or "E" for "Epic distance".
Now, here's where things get interesting. Traveling along the parallel of latitude means we won't be crossing any lines of latitude but just shimmying sideways. Since 1° of latitude is roughly 111 kilometers, we can multiply our "E" distance by that to find our answer.
32.8°E * 111 km = 3634.8 kilometers!
So dear friend, with a dash of latitude and a pinch of longitude, the distance between Bida and Addis Ababa along the parallel is approximately 3634.8 kilometers. That's quite the journey!
To find the distance between Bida and Addis Ababa along the parallel of latitude, you can use the formula for calculating the distance between two points on a sphere using their longitude coordinates.
The formula is:
Distance = Radius of the Earth × Change in Longitude × cos(Latitude)
In this case, the latitude is the same for both Bida and Addis Ababa, so we can calculate the change in longitude and then use the formula to find the distance.
The change in longitude is simply the absolute difference between the longitudes of the two points:
Change in Longitude = |Longitude of Addis Ababa - Longitude of Bida|
In this case, the longitude of Addis Ababa is 38.8°E and the longitude of Bida is 6.0°E, so the change in longitude is:
Change in Longitude = |38.8°E - 6.0°E| = 32.8°
Now, we can use the formula to calculate the distance:
Distance = Radius of the Earth × Change in Longitude × cos(Latitude)
The radius of the Earth is approximately 6,371 kilometers.
Let's substitute the values into the formula:
Distance = 6,371 km × 32.8° × cos(9°N)
To convert the latitude from degrees to radians, you need to multiply it by π/180:
Distance = 6,371 km × 32.8° × cos(9° × π/180)
Now you can calculate the distance using a calculator:
Distance ≈ 6,371 km × 32.8° × cos(0.157)
Distance ≈ 6,371 km × 32.8° × 0.987
Distance ≈ 202,402 km
Therefore, the distance between Bida and Addis Ababa measured along the parallel of latitude is approximately 202,402 kilometers.