Question

The Positions of Abuja (Nigeria) and Bonn (Germany) to the Nearest degree are (9°N,7°E)and (51°N,7°E) respectively.(use R=6400km to calculate their distance apart to 2s.f)​

Answer 1

4656.46km

Explanation:

Given that:

Abuja (Nigeria) = (9°N,7°E)

Bonn (Germany) = (51°N,7°E)

Longitudinal difference = 51 - 9 = 42°

Radius of the earth (R) = 6400

Distance = θ/360 * 2πr

r = Rcos7° = 6400 * cos7 = 6352.2953

Hence,

Distance = (42/360) * 2 * 3.142 * 6352.2953

Distance = 0.1166666 * 2 * 3.142 * 6352.2953

Distance = 4656.4757 km