Question

Claire is on a business trip. She'll be traveling from Liverpool, England, to Melbourne, Australia.

The latitude value of Liverpool is 53,41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are
degrees apart in latitude. The two cities are
degrees
apart in longitude.

Answer 1

Therefore, the two cities are 91.22 degrees apart in latitude and 212.05 degrees apart in longitude.

Explanation:

The Haversine formula is:

d = 2r * arcsin(sqrt(sin^2((lat2 - lat1)/2) + cos(lat1) * cos(lat2) * sin^2((lon2 - lon1)/2)))

where:

d is the distance between the two points

r is the radius of the Earth (mean radius = 6,371km)

lat1 and lat2 are the latitude values of the two points

lon1 and lon2 are the longitude values of the two points

Using this formula, we can calculate the distance between Liverpool and Melbourne in terms of latitude and longitude:

Latitude difference = |53.41 - (-37.81)| = 91.22 degrees

Longitude difference = |(-2.99) - 144.96| = 147.95 degrees

Note that the longitude difference is greater than 180 degrees, which means that we need to account for the fact that the two cities are on opposite sides of the 180 degree meridian. To do this, we can subtract the longitude difference from 360 degrees:

Longitude difference = 360 - 147.95 = 212.05 degrees

Therefore, the two cities are 91.22 degrees apart in latitude and 212.05 degrees apart in longitude.