What is the latitude of Zaria lat °xn if the distance between kaduna (30°s) and Zaria is 1625km.

Zaria

11.0855° N, 7.7199° E

This question does not make much sense to me.

Zaria is a city IN Kaduna , Nigeria
perhaps you mean airports?
Zaria airport about 11deg 7 min N and 7 deg 41 min E
Kaduna airport about 10 deg 41 min N and 7 deg 19 min E

IF (and only if) they were at the same Longitude
1.00 nautical mile is a minute (1/60 degrees) of latitude
there are 0.54 nautical miles per kilometer
so
0.54 minutes of latitude = one km
1625 km (0.54 min/km) = 877.5 minutes of arc
877.5 min * 1 deg/60 min = 14.6 degrees of latitude difference

Note, a minute of latitude is a nautical mile north south, but a minute of longitude is NOT a mile east west except at the equator. The lines of constant longitude are a minute of arc per mile only at the equator. Those lines approach each other as you get toward the north and south poles and a minute of longitude arc gets less and less distance until it is zero at the poles.

To find the latitude of Zaria (lat °xn), we need to use the distance between Kaduna and Zaria. However, without the latitude of Kaduna, we cannot determine the latitude of Zaria precisely.

If we assume that Kaduna is located at a latitude of 30°S (30 degrees South), we can proceed with the calculation.

First, let's convert the latitude of Kaduna to a positive value:
Latitude of Kaduna = -30°

Next, we can use the distance between Kaduna and Zaria to determine the latitude of Zaria using the formula for calculating the distance between two points on a sphere:

Distance = 2 * π * R * |Δφ| / 360

where:
- Distance is the straight-line distance between the two points,
- R is the radius of the Earth (approximately 6,371 km),
- |Δφ| is the absolute difference in latitude between the two points.

In this case, the distance is given as 1625 km.
Let's assume R = 6,371 km.

Substituting these values into the formula:
1625 = 2 * 3.14 * 6,371 * |-30 - xn| / 360

Simplifying the equation:
1625 = 2 * 3.14 * 6,371 * |-30 - xn| / 360
81460 = 3.14 * 6,371 * |-30 - xn| / 360
81460 * 360 = 3.14 * 6,371 * |-30 - xn|
29385600 = 20,016 * |-30 - xn|
29385600 / 20,016 = |-30 - xn|

Now, we can solve for xn:
29385600 / 20,016 = -30 - xn
xn = -30 - (29385600 / 20,016)

Please note that this calculation assumes Kaduna is located at a latitude of 30°S. If the actual latitude of Kaduna is different, please provide that information so we can recalculate the latitude of Zaria.

To find the latitude of Zaria (lat °xn), we need some additional information. The distance between Kaduna (30°S) and Zaria is given as 1625 km, which is the distance south of the equator. However, latitude is measured in degrees, minutes, and seconds.

To determine the latitude of Zaria, we have to calculate the difference in latitude between Kaduna and Zaria using the given distance of 1625 km. Since 1 degree of latitude is equal to approximately 111 km, we can divide the given distance by 111 to convert it into degrees.

1625 km / 111 km/degree = 14.62 degrees of latitude

However, since Kaduna is located south of the equator (30°S), we have to subtract the calculated difference from Kaduna's latitude:

30°S - 14.62° = 15.38°S

Therefore, the latitude of Zaria is approximately 15.38°S.