An aircraft flew due west from point A (39.64^ exto extN, 50^ exto extE) to B (39.64^ exto extN, 20^ exto extW). The aircraft flew along a small circle of latitude. Calculate the distance covered by t

Fresh day Oliverkoome@gmail254.Com., let's solve. 6. An aircraft flew due west from point A (39.64^ N, 50^ E) to B (39.64^ N, 20^ W). The aircraft flew along a small circle of latitude. Step 1: Identify the given values. Latitude, = 39.64^. Longitude of A = 50^ E. Longitude of B = 20^ W. Radius of Earth, R = 6370 km. = (22)/(7). Step 2: Calculate the difference in longitude, . Since one longitude is East and the other is West, we add their magnitudes. = 50^ + 20^ = 70^ Step 3: Use the formula for the distance along a small circle: D = ()/(360^) × 2 R . D = (70)/(360) × 2 × (22)/(7) × 6370 × (39.64^) Step 4: Calculate (39.64^). (39.64^) ≈ 0.7700 Step 5: Substitute the value and calculate the distance. D = (70)/(360) × 2 × (22)/(7) × 6370 × 0.7700 D = (7)/(36) × (44)/(7) × 6370 × 0.7700 D = (44)/(36) × 6370 × 0.7700 D = (11)/(9) × 6370 × 0.7700 D ≈ 1.22222 × 6370 × 0.7700 D ≈ 7780.44 × 0.7700 D ≈ 5990.9388 km Step 6: Round the distance to the nearest km. D ≈ 5991 km The distance covered by the aircraft is: 5991 km 7. In the given figure, A, B, C, D, and E are points