Final answer:
Liverpool and Melbourne are approximately 91.22 degrees apart in latitude. For longitude, the cities differ by 147.95 degrees. The correct given option for latitude is d) 91.22 degrees, while no correct option was provided for longitude.
Step-by-step explanation:
Latitude and Longitude Differences Between Liverpool and Melbourne
Latitude and longitude are essential components of the geographic coordinate system used to determine any location on Earth. The latitude is an indication of north-south position relative to the equator, ranging from 0° at the equator to 90° at the poles. The longitude, on the other hand, represents the east-west position relative to the Prime Meridian, which runs through Greenwich, England.
The latitude of Liverpool is 53.41 degrees (north), and that of Melbourne is -37.81 degrees (south). To find the latitude difference, subtract the two latitudes while taking into account their signs (since one is north and one is south). Similarly, the longitude of Liverpool is -2.99 degrees (west), and that of Melbourne is 144.96 degrees (east). The longitude difference is found by subtracting these two values.
Calculating the Latitude Difference:
- Liverpool: 53.41° N
- Melbourne: 37.81° S (which can also be written as -37.81°)
Total latitude difference = 53.41 - (-37.81) = 53.41 + 37.81 = 91.22°
Calculating the Longitude Difference:
- Liverpool: -2.99° W
- Melbourne: 144.96° E
Total longitude difference = 144.96 - (-2.99) = 144.96 + 2.99 = 147.95°
Therefore, the cities are approximately 91.22 degrees apart in latitude and 147.95 degrees apart in longitude. The options provided in the question for longitude differences do not include 147.95 degrees, hence none of the given options for longitude is correct. For latitude, the correct answer among the options is option d) 91.22 degrees.