ࡱ> G mbjbjَ %< _]666JJJJ8\J*0FFFYYY$06YUYYYFFYlF6FJJY .gH ,6F$!JJu^@WorkSHEET 6.2 Earth geometry Name: ___________________________  Use the world map above for the following questions, where necessary. State whether the following pairs of points lie on the same line of longitude or the same line of latitude. X (20N, 50E) and Y (20N, 50W) P (50N, 50W) and Q (20N, 50W) R (0, 20E) and T (0, 20W) C (0, 0) and D (50S, 0)  latitude longitude latitude longitudeDetermine the angular distance between the following pairs of points. A (23N, 0) and B (50N, 0) F (50S, 23W) and G (20N, 23W) J (70S, 50E) and K (70S, 40E) X (0, 20W) and Y (0, 40E) angular distance = 50 23 = 27 angular distance = 50 + 20 = 70 angular distance = 50 40 = 10 angular distance = 20 + 40 = 60 On a great circle, 1  EMBED Equation.3  Calculate the distance in km between the following pairs of locations. P (50S, 100E) and Q (12N, 100E) A (40N, 20W) and B (75N, 20W) C (0, 40W) and D (0, 20E) angular distance = 50 + 12 = 62 distance in km = 62  EMBED Equation.3  111.2 km = 6894.4 km angular distance = 75 40 = 35 distance in km = 35  EMBED Equation.3  111.2 km = 3892 km angular distance = 40 + 20 = 60 distance in km = 60  EMBED Equation.3  111.2 km = 6672 km On a small circle,  EMBED Equation.3  Calculate the distance in km between the following pairs of locations (to the nearest km). X (25N, 50E) and Y (25N, 77E) P (40S, 20W) and Q (40S, 30E) angular distance = 77 50 = 27 distance in km = 27  EMBED Equation.3  111.2 km cos 25 = 2721 km angular distance = 20 + 30 = 50 distance in km = 50  EMBED Equation.3  111.2 km cos 40 = 4259 km When the angular distance between two locations is greater than 180, the shortest distance between the two points is found by subtracting the angle from 360. Find the shortest distance between the following pairs of points. Y (30N, 150E) and Z (30N, 100W) D (0, 110W) and F (0, 120E) These two points be on the same small circle (30N). Angular distance = 150 + 100 = 250 This is over 180. So, shortest angular distance = 360 250 = 110 So, shortest distance between Y and Z = 110  EMBED Equation.3  111.2 cos 30 = 10 593 km Points D and F lie on the same great circle (the equator) Angular distance = 110 + 120 = 230 This is over 180. So, shortest angular distance = 360 230 = 130 So, shortest distance between D and F = 130  EMBED Equation.3  111.2 km = 14 456 km The circumference of the equator represents an angular distance of 360. This distance also represents a time period of 24 hours. Use this information to determine the time period equivalent to an angular distance of 1 of longitude.  EMBED Equation.3  Based on your answer for question 6, find the time difference between the following pairs of cities. New York (40N, 75W) and London (51N, 0W) New York (40N, 75W) and Sydney (34S, 150E) Longitude difference = 75 0 = 75 Time difference = 75  EMBED Equation.3  4 min = 300 min = 5 hours Longitude difference = 75 + 150 = 225 Time difference = 225  EMBED Equation.3 4 min = 900 min = 15 hours Time zones throughout the world are quoted with reference to Greenwich Mean Time. Explain each of the following. Brisbane is GMT + 10 New York is GMT 5 Brisbane time is 10 hours ahead of Greenwich Mean Time. New York time is 5 hours behind Greenwich Mean Time.Find the time difference between the following pairs of cities. Los Angeles GMT 8 and Brisbane GMT + 10 Cape Town GMT + 1 and Brisbane GMT + 10 Los Angles is 8 hours behind GMT and Brisbane is 10 hours ahead of GMT.  EMBED Equation.3  Cape Town is 1 hour ahead of GMT and Brisbane is 10 hours ahead of GMT.  EMBED Equation.3  Brisbane time is GMT +10. A plane leaves Brisbane on a flight to London (GMT) at 8 a.m. on Sunday. If the flight takes 20 hours, what will be the local time in London when it touches down?  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