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
a) Find the longitudinal difference between the two towns. Step 1: Identify the longitudes of town P and town Q. Town P is at 49^ E. Town Q is at 131^ W. Step 2: Calculate the longitudinal difference. Since one town is East and the other is West of the Prime Meridian, the longitudinal difference is the sum of their longitudes. Longitudinal difference = 49^ + 131^ = 180^ The longitudinal difference between the two towns is 180^. b) If another town R is 840 km due east to town Q, find the position of town R. Step 1: Identify the position of town Q and the given information. Town Q is at (36^ N, 131^ W). Distance D = 840 km due east of Q. Radius of the Earth R = 6370 km. = (22)/(7). The latitude of town Q is = 36^ N. Since town R is due east of Q, it will be on the same parallel of latitude, so its latitude will also be 36^ N. Step 2: Calculate the change in longitude ( ) corresponding to the distance D along the parallel of latitude. The formula for the distance along a parallel of latitude is: D = ( )/(360^) × 2 R Rearrange the formula to solve for : = (D × 360^)/(2 R ) Step 3: Substitute the given values into the formula. First, calculate 2 R: 2 R = 2 × (22)/(7) × 6370 km = 44 × (6370)/(7) km