Math Assignment























Task 1


Location


Latitude


Longitude


GMT Time


(Grenwich Mean Time)


Time in Brisbane at 10am May 21


Pipeline, Hawaii


2139N


15803W


GMT -10 hours


2pm May 20th


Margaret River, WA


3358S


11459E


GMT +8 hours


8am May 21st


Tavarua, Fiji


1726S


17751E


GMT +12 hours


12 noon May 21st


Cornwall, England


5001N


507W


GMT (DST)


12 Midnight May 21st


Lombok, Indonesia


830S


11639E


GMT +8 hours


6am May 21st


PLAYA GUIONES, Costa Rica


GMT hours


Papenoo break at Tahiti


1730S


14925W


GMT -10 hours


2pm May 20th


Durban, South Africa


2944S


3656E


GMT +2 hours


2am May 21st


La Jolla, California


3250N


11716W


GMT -8 hours


4pm May 20th


Estagnots, France


GMT hours (DST)


Task 2








Flight Details


The locations that will be visited on the holiday are:


(in order of which they will be visited)


1 Margaret River, Western Australia


2 Lombok, Indonesia


3 Cornwall, England


4 Pipeline, Hawaii


5 Tavarua, Fiji





Flight 1: Brisbane to Margaret River, Western Australia


DEPART: Brisbane


ARRIVE: Perth


Local Time


8:15am


11:35am


Brisbane Time


8:15am


11:35am


Date


21/5/2004


21/5/2004


Flight Duration


5hrs 20mins


Published Distance


3605km (2240miles)


Airline/Flight


Qantas Flight 589


Flight 2: Margaret River, Western Australia to Lombok, Indonesia





DEPART: Perth


ARRIVE: Jakarta


Local Time


10:35am


1:55pm


Brisbane Time


Date


22/6/2004


22/6/2004


Flight Duration


4hrs 20mins


Published Distance


3018km (1875miles)


Airline/Flight


Qantas Flight 139





DEPART: Jakarta


ARRIVE: Surabaya


Local Time


4:00pm


5:15pm


Brisbane Time


Date


22/6/2004


22/6/2004


Flight Duration


1hr 15mins


Published Distance


676km (420miles)


Airline/Flight


Garuda Flight 320





DEPART: Surabaya


ARRIVE: Mataram (Lombok)


Local Time


8:00pm


9:50pm


Brisbane Time


Date


22/6/2004


22/6/2004


Flight Duration


0hrs 50mins


Published Distance


383km (238miles)


Airline/Flight


Garuda Flight 424





Total distance: 4076km (2533miles)


Total duration: 6hrs 25mins (11hrs 15mins with conections





Flight 3





Mataram (Lombok, Indonesia) to London, England (near Cornwall, England)





DEPART: Mataram


ARRIVE: Surabaya


Local Time


6:40am


7:30am


Brisbane Time


Date


25/7/2004


25/7/2004


Flight Duration


50mins


Published Distance


383km (238miles)


Airline/Flight


Garuda Flight 425


DEPART: Surabaya


ARRIVE: Kuala Lumpur


Local Time


11:30am


3:05pm


Brisbane Time


Date


25/7/2004


25/7/2004


Flight Duration


2hrs 35mins


Published Distance


1687km (1048miles)


Airline/Flight


Garuda Flight 908


DEPART: Kuala Lumpur


ARRIVE: Delhi


Local Time


6:10pm


9:10pm


Brisbane Time


Date


25/7/2004


25/7/2004


Flight Duration


5hrs 30mins


Published Distance


3854km (2395miles)


Airline/Flight


E Malaysia Flight 190


DEPART: Dehli


ARRIVE: Frankfurt


Local Time


2:25am


6:55am


Brisbane Time


Date


26/7/2004


26/7/2004


Flight Duration


8hrs 0mins


Published Distance


6122km (3804miles)


Airline/Flight


Air India Flight 6761


DEPART: Frankfurt


ARRIVE: London


Local Time


8:10am


9:40am


Brisbane Time


Date


26/7/2004


26/7/2004


Flight Duration


1hr 30mins


Published Distance


637km (396miles)


Airline/Flight


BMI Flight 3472


Total Distance: 12683km (7881miles)


Total Duration: 18hrs 25mins (28hrs 45mins with conections)


Flight 4





London, England (near Cornwall, England) to Honolulu, Hawaii (near Pipeline, Hawaii)





DEPART: London


ARRIVE: Amsterdam


Local Time


7:40am


10:00am


Brisbane Time


Date


27/8/2004


27/8/2004


Flight Duration


1hr 20mins


Published Distance


349km (217miles)


Airline/Flight


KLM Flight 1554





DEPART: Amsterdam


ARRIVE: San Francisco


Local Time


11:45am


1:55pm


Brisbane Time


Date


27/8/2004


27/8/2004


Flight Duration


11hrs 10mins


Published Distance


8787km (5460miles)


Airline/Flight


NWA Flight 8605


























DEPART: San Francisco


ARRIVE: Honolulu


Local Time


4:30pm


7:20pm


Brisbane Time


Date


27/8/2004


27/8/2004


Flight Duration


5hrs 50mins


Published Distance


3858km (2397miles)


Airline/Flight


United Flight 61





Total distance: 12994km (8074miles)


Total duration: 18hrs 20mins (21hrs 40mins with connections)


Flight 5 Honolulu to Suva, Fiji (near Tavarua, Fiji)





DEPART: Honolulu


ARRIVE: Nadi


Local Time


12:35am


5:20am (+1 day)


Brisbane Time


Date


2/10/2004


27/10/2004


Flight Duration


6hrs 45mins


Published Distance


5108km (3174miles)


Airline/Flight


Air Pacific Flight 821





DEPART: Nadi


ARRIVE: Suva, Fiji


Local Time


6:45am


7:15am


Brisbane Time


Date


2/10/2004


2/10/2004


Flight Duration


0hrs 30mins


Published Distance


124km (77miles)


Airline/Flight


Air Fiji Flight 502


Total Distance: 5232km (3251miles)


Total Duration: 7hrs 15mins (8hrs 40mins with connections)


























Flight 6 (back to Brisbane)


Suva, Fiji (near Tavarua, Fiji) to Brisbane





DEPART: Suva


ARRIVE: Nadi


Local Time


6:00am


6:20am


Brisbane Time


Date


21/11/2004


21/11/2004


Flight Duration


0hrs 20mins


Published Distance


124km (77miles)


Airline/Flight


Air Fiji Flight 501





DEPART: Nadi


ARRIVE: Brisbane


Local Time


8:15am


10:15am


Brisbane Time


Date


21/11/2004


21/11/2004


Flight Duration


4hrs 0mins


Published Distance


2717km (1688miles)


Airline/Flight


Air Pacific Flight 921





Total Distance: 2840km (1765miles)


Total Duration: 4hrs 20mins (6hrs 15mins with connections)


Task 3


Quote for Flights





Buying Selling





Exchange Rate: $1A eq: $US.................0.7733................0.7649


The Courier-Mail, Saturday, February 28, 2004


Flight Price in Australian $ Price in US $





Flight 1 (Brisbane to Perth) $560.45 $428.69


Flight 2 (Perth to Mataram) $1151.46 $880.75


Flight 3 (Mataram to London) $4238.29 $3241.87


Flight 4 (London to Honolulu) $4605.80 $3522.98


Flight 5 (Honolulu to Suva) $1557.33 $1191.20


Flight 6 (Suva to Brisbane) $861.34 $658.84


TOTAL $12974.67 $9,924.33





Task 4


Find distance between:


Pipeline, Hawaii 2139N, 15803W


And


Cornwall, England 5001N, 507W


a 2139


b 5001


15803 changes to 15763 (change 1 to 60 so they can be subtracted)


15763


- 507


15256


g 15256


D = cos-1 (sin a sin b + cos a cos b cos g) 111.2km


D = cos-1 (0.369 0.766 + 0.929 0.643 0.890) 111.2km


D = cos-1 (0.286 + -0.531) 111.2km


D = cos-1 (-0.245) 111.2km


Distance between Pipeline and Cornwall = 11855.99km


Calculated Distance = 11855.99km


Published Distance = 12994km


Difference = 1138.01km


The calculated distance has been worked out by using the locations Pipeline, Hawaii and Cornwall, England. The Published distance has been worked out using the airport locations which are Honolulu, Hawaii and London, England because there are no airports at the destinations. This is why there is a difference between the two distances.