City A is in Sweden and is located at (58°N, 16°E) - HSC - SSCE Mathematics Standard - Question 20 - 2021 - Paper 1
Question 20
City A is in Sweden and is located at (58°N, 16°E). Sydney, in Australia, is located at (33°S, 151°E).
Robert lives in Sydney and needs to give an online presentati... show full transcript
Worked Solution & Example Answer:City A is in Sweden and is located at (58°N, 16°E) - HSC - SSCE Mathematics Standard - Question 20 - 2021 - Paper 1
Step 1
Calculate the Longitude Difference
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the time difference, we need to calculate the longitude difference between Sydney and City A:
Longitude of City A: 16°E
Longitude of Sydney: 151°E
Longitude difference = 151°E - 16°E
= 135°.
Step 2
Calculate Time Difference
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Now, using the given information that each 15° of longitude equates to an hour, we calculate the time difference:
Time difference = ( \frac{135}{15} = 9 ) hours.
Step 3
Determine Time in Sydney
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Sydney is 9 hours ahead of City A. Therefore, if it is 5:00 pm Thursday in City A, we subtract 9 hours to find the time in Sydney:
5:00 pm Thursday - 9 hours = 8:00 am Thursday.
Thus, Robert should start his presentation at 8:00 am on Thursday in Sydney.
