Answer :
Answer:
The circumference of the planet Nearth is 36,000km.
Explanation:
This problem can be solved using the Eratosthenes' method which considers the angular distance between two points on the planet to estimate the circumference of the planet.
When the Equinox is directly overhead the city of Nyene, this means the sin is 90° over the city.
According to your measurement, the sun is 76° to Alectown, where you are.
Therefore, the angular separation between the city of Nyene and Alectown is 14°.
Since it is known that your planet Nearth is spherical, then the full angle of the planet is 360°.
This means the angular separation of your two cities is a fraction of the planet, 14°/360°.
Given that the city of Nyene is due north to Alectown. This means Alectown is 1400 kilometers south of Nyene.
Then, the circumference of the whole planet can be estimated from the angular fraction.
i.e 14/360 × X = 1400km
where X = The circumference of the planet Nearth
X = 1400km × 360 / 14 = 36,000km
Hence, the circumference of the planet Nearth is 36,000km
The circumference of the Nearth planet has been found to be 36,000 km.
The circumference e of the planet has been calculated by using the Eratosthenes' method. The given situation has equinox above the Neyne city. This states that the position of Nyene has been sin of [tex]90^\circ .[/tex]
The angular separation between Neyne and Alectown has been given by:
[tex]\rm Angular\; separation=Nyene-Alectown\\Angular \;separation=90-76\\Angular \;separation=14^\circ[/tex]
The angular separation of Nyene and Alectown has been [tex]14^\circ.[/tex]
The distance from Alectown and Nyene has been given to be 1400 km. The fraction for the circumference (c) of the Nearth planet has been given by:
[tex]1400=\dfrac{14}{360}\;\times\; c\\c=36,000[/tex]
The circumference of the Nearth planet has been found to be 36,000 km.
For more information about the circumference, refer to the link:
https://brainly.com/question/4268218