Two towns K and Q are on the parallel of latitude 46°N. The longitude of town K is 130°W and that of town Q is 103°W. A third town P also on latitude 46°N i...

Two towns K and Q are on the parallel of latitude 46°N. The longitude of town K is 130°W and that of town Q is 103°W. A third town P also on latitude 46°N is on longitude 23°E, Calculate:

(i) the length of the parallel of latitude 46°N, to the nearest 100km;

(ii) the distance between K and Q, correct to the nearest 100km;

(iii) the distance between Q and P measured along the parallel of latitude, to the nearest 10km.

[Take \(\pi = 3.142\); Radius of the earth = 6400km]