TopicName Test - Jacaranda



WorkSHEET 6.2 Earth geometry Name: ___________________________

|[pic] |

| |

|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. |latitude | |

| |X (20ºN, 50ºE) and Y (20ºN, 50ºW) |longitude | |

| |P (50ºN, 50ºW) and Q (20ºN, 50ºW) |latitude | |

| |R (0º, 20ºE) and T (0º, 20ºW) |longitude | |

| |C (0º, 0º) and D (50ºS, 0º) | | |

| | | | |

| |Determine the angular distance between the following pairs of points. |angular distance = 50º – 23º | |

| |A (23ºN, 0º) and B (50ºN, 0º) |= 27º | |

| |F (50ºS, 23ºW) and G (20ºN, 23ºW) | | |

| |J (70ºS, 50ºE) and K (70ºS, 40ºE) |angular distance = 50º + 20º | |

| |X (0º, 20ºW) and Y (0º, 40ºE) |= 70º | |

| | | | |

| | |angular distance = 50º – 40º | |

| | |= 10º | |

| | | | |

| | |angular distance = 20º + 40º | |

| | |= 60º | |

| | | | |

| |On a great circle, 1º [pic] Calculate the distance in km between the |angular distance = 50º + 12º | |

| |following pairs of locations. |= 62º | |

| |P (50ºS, 100ºE) and Q (12ºN, 100ºE) |distance in km = 62 [pic] 111.2 km | |

| |A (40ºN, 20ºW) and B (75ºN, 20ºW) |= 6894.4 km | |

| |C (0º, 40ºW) and D (0º, 20ºE) | | |

| | |angular distance = 75º – 40º | |

| | |= 35º | |

| | |distance in km = 35 [pic] 111.2 km | |

| | |= 3892 km | |

| | | | |

| | |angular distance = 40º + 20º | |

| | |= 60º | |

| | |distance in km = 60 [pic] 111.2 km | |

| | |= 6672 km | |

| | | | |

| |On a small circle, [pic] |angular distance = 77º – 50º | |

| |Calculate the distance in km between the following pairs of locations |= 27º | |

| |(to the nearest km). |distance in km = 27 [pic] 111.2 km cos 25º | |

| |X (25ºN, 50ºE) and Y (25ºN, 77ºE) |= 2721 km | |

| |P (40ºS, 20ºW) and Q (40ºS, 30ºE) | | |

| | |angular distance = 20º + 30º | |

| | |= 50º | |

| | |distance in km = 50 [pic] 111.2 km cos 40º | |

| | |= 4259 km | |

| | | | |

| |When the angular distance between two locations is greater than 180º, |These two points be on the same small circle (30ºN). | |

| |the shortest distance between the two points is found by subtracting |Angular distance = 150º + 100º | |

| |the angle from 360º. |= 250º | |

| |Find the shortest distance between the following pairs of points. |This is over 180º. | |

| |Y (30ºN, 150ºE) and Z (30ºN, 100ºW) |So, shortest angular distance | |

| |D (0º, 110ºW) and F (0º, 120ºE) |= 360º – 250º | |

| | |= 110º | |

| | |So, shortest distance between Y and Z | |

| | |= 110 [pic] 111.2 cos 30º | |

| | |= 10 593 km | |

| | | | |

| | |Points D and F lie on the same great circle (the equator) | |

| | |Angular distance = 110º + 120º | |

| | |= 230º | |

| | |This is over 180º. | |

| | |So, shortest angular distance | |

| | |= 360º – 230º | |

| | |= 130º | |

| | |So, shortest distance between D and F | |

| | |= 130 [pic] 111.2 km | |

| | |= 14 456 km | |

| | | | |

| |The circumference of the equator represents an angular distance of |[pic] | |

| |360º. This distance also represents a time period of 24 hours. Use | | |

| |this information to determine the time period equivalent to an angular| | |

| |distance of 1º of longitude. | | |

| | | | |

| |Based on your answer for question 6, find the time difference between |Longitude difference = 75º – 0º | |

| |the following pairs of cities. |= 75º | |

| |New York (40ºN, 75ºW) |Time difference = 75 [pic] 4 min | |

| |and London (51ºN, 0ºW) |= 300 min | |

| |New York (40ºN, 75ºW) |= 5 hours | |

| |and Sydney (34ºS, 150ºE) | | |

| | |Longitude difference = 75º + 150º | |

| | |= 225º | |

| | |Time difference = 225 [pic]4 min | |

| | |= 900 min | |

| | |= 15 hours | |

| | | | |

| |Time zones throughout the world are quoted with reference to Greenwich|Brisbane time is 10 hours ahead of Greenwich Mean Time. | |

| |Mean Time. Explain each of the following. | | |

| |Brisbane is GMT + 10 |New York time is 5 hours behind Greenwich Mean Time. | |

| |New York is GMT – 5 | | |

| | | | |

| |Find the time difference between the following pairs of cities. |Los Angles is 8 hours behind GMT and Brisbane is 10 hours ahead of | |

| |Los Angeles GMT – 8 and |GMT. | |

| |Brisbane GMT + 10 |[pic] | |

| |Cape Town GMT + 1 and | | |

| |Brisbane GMT + 10 |Cape Town is 1 hour ahead of GMT and Brisbane is 10 hours ahead of | |

| | |GMT. | |

| | |[pic] | |

| | | | |

| |Brisbane time is GMT +10. A plane leaves Brisbane on a flight to |[pic] |

| |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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