Taking the radius of the earth ,R = 6370km and π22\7 . (A) Calculate the shortest distance between two cities P (24°N ,29° ,48°w) and Q(24°N,30°,12°E) along the parallel of latitude (a) nm ( 3mks) (b) Km (2mks) (c) If it's 1200hrs at p what is the local time at Q ( 2mks) ( B)An airplane few dew south from point A ( 60°N ,45°E) to a point B. The distance covered by the plane is 800km . Determine the position of B ( 3mks)

You're on a roll — Part A: Calculate the shortest distance between two cities P and Q along the parallel of latitude. Given: P (24^ N, 29^ 48' W) Q (24^ N, 30^ 12' E) Radius of Earth (R) = 6370 km = (22)/(7) Step 1: Convert longitudes to decimal degrees. Longitude of P (_P) = 29^ 48' W = 29^ + (48)/(60)^ W = 29^ + 0.8^ W = 29.8^ W Longitude of Q (_Q) = 30^ 12' E = 30^ + (12)/(60)^ E = 30^ + 0.2^ E = 30.2^ E Step 2: Calculate the difference in longitude (). Since the longitudes are in different hemispheres (West and East), add their absolute values. = 29.8^ + 30.2^ = 60^ The latitude () for both cities is 24^ N. a) Distance in Nautical Miles (NM) Step 1: Use the formula for distance along a parallel of latitude in Nautical Miles. Distance