What is the bearing of London from Birmingham?

To determine the bearing of London from Birmingham in the United Kingdom, we can use their geographical coordinates:

- Birmingham: 52°29'N, 1°54'W

- London: 51°30'N, 0°08'W

Using these coordinates, we can calculate the initial bearing of London from Birmingham using the following formula:

Initial Bearing = arctan((Δ Longitude * cos(Latitude 2)) / (Δ Latitude))

Where:

Δ Latitude = Latitude 2 - Latitude 1

Δ Longitude = Longitude 2 - Longitude 1

Latitude 1 and Longitude 1 are the coordinates of Birmingham.

Latitude 2 and Longitude 2 are the coordinates of London.

Plugging in the values:

Δ Latitude = 51°30'N - 52°29'N = -0°59' (Note: Negative sign indicates the difference is South)

Δ Longitude = 0°08'W - 1°54'W = 1°46'W

Initial Bearing = arctan((-1.77° * cos(51°30')) / (-0.98°))

Initial Bearing = arctan(1.69)

Initial Bearing ≈ 60.6°

Therefore, the initial bearing of London from Birmingham is approximately 60.6°.