Latitude change when traveling one nautical mile along a meridian

[Magnetons]

Homework Statement

A nautical mile (nmi) equals 1.151 mi, or 1852 m. Show that
the distance of 1 nmi along a meridian of the Earth corre-
sponds to a change in latitude of 1 minute of arc.

Relevant Equations

Unit of length.

can't understand

 

[haruspex]

Do you know what a meridian is and how it relates to latitude?
There are 60 minutes to a degree. How far is it around the Earth? If you travel only one mInute of arc around the Earth, how far have you gone?

 

[Magnetons]

I only know about the meridians, Meridians are the imaginary lines that connect the north pole to the south pole.
360degree=60*360 minutes=21600 minutes.

 

[haruspex]

Meridians are the imaginary lines that connect the north pole to the south pole.

Right, also known as lines of longitude. Latitude runs the other way, so as you travel along a meridian you cross lines of latitude.
Look up the circumference of the Earth. If a circumference goes around 360 degrees, what fraction of that is one minute?

 

[Magnetons]

1/21660

 

[haruspex]

1/21660

Small error there.
When you've corrected that, what does that equate to in miles or metres?

 

[Magnetons]

Sorry, I can't understand what you saying.

 

[haruspex]

Sorry, I can't understand what you saying.

360x60 is not 21660.
What is the circumference of the Earth, in miles or km?
If that corresponds to 360 degrees, what distance corresponds to one minute of arc?