(a) A plane flies due East from A(lat. 53°N, long. 25°E) to a point B(lat. 53°N, long. 85°E) at an average speed of 400 km/h. The plane then flies South from B to a point C 2000km away. Calculate, correct to the nearest whole number : (a) the distance between A and B. (b) the time the plane takes to reach point B ; (c) the latitude of C. [Take radius of the earth = 6400km; ].
Explanation
(a)
Longitude difference = 85° - 25° = 60°. Distance AB along the parallel of latitude = = = (b) = . (c) Distance BC measured along the meridian = Latitude difference Let the latitude of C = x.
