This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Here's the solution to the problem: Part (a) (i) Calculate the position of point B Step 1: Identify the given information for points A and B. Point A: (X^ N, 15^ E) Point B: (X^ N, 75^ W) Distance from A to B along the parallel of latitude = 5005 km Radius of Earth (R) = 6370 km = (22)/(7) Step 2: Calculate the change in longitude () between A and B. Since A is at 15^ E and B is at 75^ W, the total change in longitude is: = 15^ - (-75^) = 15^ + 75^ = 90^ Step 3: Use the formula for distance along a parallel of latitude to find X. The formula is: Distance = ()/(360^) × 2 R (X) Substitute the known values: 5005 = (90)/(360) × 2 × (22)/(7) × 6370 × (X) 5005 = (1)/(4) × (44)/(7) × 6370 × (X) 5005 = (11)/(7) × 6370 × (X) 5005 = 11 × ((6370)/(7)) × (X) 5005 = 11 × 910 × (X) 5005 = 10010 × (X) (X) = (5005)/(10010) = (1)/(2) X = ^-1((1)/(2)) = 60^ Since the latitude is X^ N, X = 60^ N. Step 4: State the position of point B. The position of point B is (60^ N, 75^ W). The position of point A is (60^ N, 15^ E). Part (a) (ii) Calculate the position of point C Step 1: Identify the given information for the journey from B to C. Point B: (60^ N, 75^ W) Aircraft flew due South for 3 hours 40 minutes. Speed = 910 km/h Step 2: Calculate the time taken for the journey from B to C in hours. Time = 3 hours 40 minutes = 3 + (40)/(60) hours = 3 + (2)/(3) hours = (11)/(3) hours Step 3: Calculate the distance from B to C. Distance = Speed × Time Distance BC = 910 km/h × (11)/(3) h = (10010)/(3) km Step 4: Use the formula for distance along a meridian to find the latitude of C. Since the aircraft flew due South, the longitude remains the