Geometry of Earth

[zoe.a.bird]

Hi everyone,
I've been doing maths homework and I am stuck on a few questions and was wondering if you could help me out.
Thanks in advanced.

1)The Antarctic Circle near the South Pole is the 66.5°S parallel of latitude. Calculate how many kilometres this circle is from the South Pole. Select A, B, C or D.
A)  123 B)  267 C)  2625 D)  7428

2) The Tropic of Capricorn is the 23.5°S parallel of latitude. Calculate, correct to the nearest kilometre, how far this circle is from:
a) the North Pole
 b) the Antarctic Circle

[S200]

Hi everyone,
I've been doing maths homework and I am stuck on a few questions and was wondering if you could help me out.
Thanks in advanced.

1)The Antarctic Circle near the South Pole is the 66.5°S parallel of latitude. Calculate how many kilometres this circle is from the South Pole. Select A, B, C or D.
A)  123 B)  267 C)  2625 D)  7428

2) The Tropic of Capricorn is the 23.5°S parallel of latitude. Calculate, correct to the nearest kilometre, how far this circle is from:
a) the North Pole
 b) the Antarctic Circle

Two pieces of semi-random information.

A nautical mile is 1.852 Kilometres. If you need help remembering that year, Wikipedia has it's normal accurate list of shit that happened that year. Notably, F.W.Woolworth was born and Commodore Perry was sent to Japan...

Next; A nautical mile is the distance covered by exactly one minute of latitude.

I assume you can work the question out now?
Post if you have any issues...

[RuiAce]

Two pieces of semi-random information.

A nautical mile is 1.852 Kilometres. If you need help remembering that year, Wikipedia has it's normal accurate list of shit that happened that year. Notably, F.W.Woolworth was born and Commodore Perry was sent to Japan...

Next; A nautical mile is the distance covered by exactly one minute of latitude.

I assume you can work the question out now?
Post if you have any issues...

Fairly sure that's not in the general maths course.

The formula sheet gives the arc length of a circle and the radius of the Earth which should be enough to do these questions. You can fill in the details if you wish to.

(Note that it is also known that \( 90^\circ \text{ N}\) marks the North Pole.)

[S200]

Fairly sure that's not in the general maths course.

Sorry, no.
It is in the general knowledge one however.

Scientia Potentia Est and all that.

But yeah. Definitely go with Rui's methodology. The assessors really wouldn't give a damn about Woolworth's Birth-year.. .