Question 207286
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If  the latitude of Chicago is about 42 degrees and the radius of the earth is about 4000 miles, 
how far is Chicago from the equator? ( use pi= 3.1416)
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        The solution and the answer in the post by @HyperBrain are incorrect.

        His method is wrong, his formula is irrelevant.


        See my correct solution below.



<pre>
In this problem, the distance from the equator to Chicago is the length of the arc of 42 degrees
on a circle of the radius 4000 miles.


So, apply the standard formula for the arc length via the radius and the central angle

    arc length = {{{2*pi*(42/360)*4000}}} = {{{2*3.1416*(42/360)*4000}}} = 2932.16 miles.


<U>ANSWER</U>.  The distance from Chicago to equator is about 2932 miles.
</pre>

Solved correctly.