City A is at latitude 34°S and longitude 151°E - HSC - SSCE Mathematics Standard - Question 9 - 2023 - Paper 1
Question 9
City A is at latitude 34°S and longitude 151°E. City B is 72° north of City A and 25° west of City A.
What are the latitude and longitude of City B?
A. 16°N, 126°E... show full transcript
Worked Solution & Example Answer:City A is at latitude 34°S and longitude 151°E - HSC - SSCE Mathematics Standard - Question 9 - 2023 - Paper 1
Step 1
Calculate the Latitude of City B
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Answer
City A is at 34°S. If City B is 72° north of City A, we calculate the latitude by converting 34°S to the northern hemisphere. Therefore:
Latitude of City B=34°+72°=38°N
Step 2
Calculate the Longitude of City B
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Answer
City A's longitude is 151°E. Since City B is 25° west of City A, we subtract:
Longitude of City B=151°E−25°=126°E
Step 3
Final Latitude and Longitude of City B
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Answer
Thus, the coordinates for City B are 38°N and 126°E. The correct option is D. 38°N, 176°E.
