Calculate the total distance between Town A (60°N, 40°W) and Town C (10°N, 140°E), passing through Town B (60°N, 140°E), using the Earth's radius R = 6371 km.

Ewurade, let's knock this out. To calculate the total distance, we need to find the distance from town A to town B, and then the distance from town B to town C. We will use the Earth's radius R = 6371 km. Step 1: Calculate the distance from A to B. Town A is at (60^ N, 40^ W) and Town B is at (60^ N, 140^ E). Since both towns are on the same latitude (60^ N), the plane flies along a parallel of latitude. The difference in longitude is 40^ W + 140^ E = 180^. The formula for distance along a parallel of latitude is D = ()/(360^) × 2 R , where is the latitude. D_AB = (180^)/(360^) × 2 (6371 km) (60^) D_AB = (1)/(2) × 2 (6371 km) × 0.5 D_AB = (6371 km) × 0.5 D_AB = 3185.5 km D_AB ≈ 10007.54 km Step 2: Calculate the distance from B to C. Town B is at (60^ N, 140^ E) and Town C is at (10^ N, 140^ E). Since both towns are on the same longitude (140^ E), the plane flies along a meridian (a great circle). The difference in latitude is 60^ N - 10^ N = 50^. The formula for distance along a great circle (meridian) is D = ()/(360^) × 2 R. D_BC = (50^)/(360^) × 2 (6371 km) D_BC = (5)/(36) × 2 (6371 km) D_BC = (5)/(18) (6371 km) D_BC ≈ 5554.08 km Step 3: Calculate the total distance. The total distance covered by the plane is the sum of D_AB and D_BC. Total Distance = D_AB + D_BC Total Distance ≈ 10007.54 km + 5554.08 km Total Distance ≈ 15561.62 km Step 4: Round the total distance to the nearest kilometer. Total Distance ≈ 15562 km The total distance covered by the plane is 15562 km. Send me the next one 📸