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 ; Radius of the earth = 6400km]
Explanation
(i) The length of the parallel of latitude 46°N = = = (to the nearest 100km) (ii) Longitudinal difference between K and Q = 130° - 103° = 27° Distance between K and Q = length of arc KQ = = (to the nearest 100km) (iii) Longitudinal difference between Q and P = 103° + 23° = 126° Distance between Q and P = = (to the nearest 10km)