How do you set up a formula for this? -- Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Find the distance between City A, 62° N and City B, 29° N. (Round to the nearest kilometer.)

Question

How do you set up a formula for this? -- Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km. 

Find the distance between City A, 62° N and City B, 29° N. (Round to the nearest kilometer.)

sirm3d · Answer

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sirm3d · Answer

the problem asks for the arc of a circle. don't forget to convert the degree measure to radian measure.

anonymous · Answer

So 31π/90 and 29π/180...I'm so confused with these. How would I make a formula? Where would I plug them in?

anonymous · Answer

If those are even right

sirm3d · Answer

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look at the sector of the circle. the angle measures (62-29) degrees. covert it to radian measure, then use the formula that relates the radius $r$ of a circle, a central angle $\theta$ in radians, and an arc $s$

anonymous · Answer

So, 33π/180(6400)? ~3686mi.  Ah thank you so much!

sirm3d · Answer

YW