I am having trouble finding out the following question. I just want to know how to solve the problem, so I can find the answer.
Winnipeg, Manitoba and Wichita, KS lie on the same longitudinal line. Wichita is at 38° latitude and Winnipeg is at 50° latitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [Use π = 3.14, and round to the nearest mile.]

Question

I am having trouble finding out the following question.  I just want to know how to solve the problem, so I can find the answer.
Winnipeg, Manitoba and Wichita, KS lie on the same longitudinal line. Wichita is at 38° latitude and Winnipeg is at 50° latitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities.  [Use π = 3.14, and round to the nearest mile.]

anonymous · Answer

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baru · Answer

imagine a globe, and you have positioned it such that the the two cities are directly in front of you

baru · Answer

|dw:1450635438938:dw|

baru · Answer

now, spin the globe, as shown

baru · Answer

|dw:1450635543344:dw|

baru · Answer

it will look as shown below

baru · Answer

|dw:1450635602182:dw|

baru · Answer

|dw:1450635721183:dw|

baru · Answer

the marked angle is 50-38= 12 degree

baru · Answer

*sorry, i have interchanged wichita and winipeg,  
winipeg should be higher and wichita lower

anonymous · Answer

Yeah, that is how it shows on my assignment.

baru · Answer

now use the formula

$s=r\theta$

where
s=arc length
r=radius
$\theta$=angle

anonymous · Answer

37.68?  I multiplied 3.14 to 12

baru · Answer

no,
you have to multiply radius and angle.
(after converting angle from degree to radians)

anonymous · Answer

oh ok.  let me check...