# Thread: Help: Radian and Degree Measure

1. ## Help: Radian and Degree Measure

Please help me!

Difference in Latitudes: Assuming that earth is a sphere of radius 6378 kilometers, what is the difference in latitude of two cities, one of which is 600 kilometers due north of the other?

2. ## Re: Help: Radian and Degree Measure

Find the Earth's circumference. Find what fraction of the circumference constitute 600 km. The same fraction of 360 degrees constitutes the difference in latitudes of the two cities.

3. ## Re: Help: Radian and Degree Measure

Thank you, but I still don't understand. Please give me the steps.

4. ## Re: Help: Radian and Degree Measure

Originally Posted by learningmath
Thank you, but I still don't understand. Please give me the steps.
as emakarov said, set up a proportion ...

$\frac{x}{360} = \frac{600}{2\pi \cdot 6378}$

... solve for $x$ , the difference in degrees latitude.

### assuming that the earth is a sphere of radius 6378

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