Solve the equation if an aeroplane leaves a point on a latitude 55 at12 noon. If it flies due south at a steady speed of 600 km what is it's latitude at 2 pm
distance = speed * time = 600*2 = 1200km
how many km in a degree of latitude? (2πR/360)
so divide by that to get the degrees traveled, and subtract from 55N (or add, if it's 55S)
Simple solution:
Flying at 600 km/h for 2 hours results in a distance of 1200 km
Each degree of latitude is approximately 111 km apart, and since
1200/111 = 10.81
the latitude is appr 55-10.81 or 44.2°
For a more accurate but also more complicated solution follow these steps:
https://gis.stackexchange.com/questions/251643/approx-distance-between-any-2-longitudes-at-a-given-latitude
To solve this question, we need to consider a few key factors.
1. The speed of the airplane: The airplane is flying at a steady speed of 600 km per hour.
2. The duration of the flight: The flight takes place from 12 noon to 2 pm, which is a period of 2 hours.
3. The direction of the flight: The airplane is flying due south.
To determine the latitude of the airplane at 2 pm, we need to calculate the distance it has traveled in the 2-hour duration.
Distance traveled = Speed × Time
= 600 km/h × 2 h
= 1200 km
Since the flight is due south, the latitude does not change. The latitude remains at 55 degrees.
Therefore, at 2 pm, the airplane's latitude is 55 degrees.