(i)

(ii)

Angular distance = 123° - 67° = 56°

θ = 0°

R = 6400

π = $\frac{22}{7}$

Distance between U and V = $\frac{56}{360}$ x 2 x $\frac{22}{7}$ x 6400 x cos0

Distance between U and V = 6257.78 km ≈ 6258 km

(iii)

Latitude difference = 90°

Distance of U from the North pole = $\frac{90}{360}$ x 2 x $\frac{22}{7}$ x 6400

Distance of U from the North pole = 10057.14 km ≈ 10057 km