SOLUTION: Suppose a man 1.7 m tall could walk around the earth along a great circle whose radius is 6371.64 km. Determine the difference in the distances traveled by his head and his feet.

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Question 1153285: Suppose a man 1.7 m tall could walk around the earth along a great circle whose radius is 6371.64 km. Determine the difference in the distances traveled by his head and his feet.
A. 10.28 m
B. 10.68 m
C. 11.46 m
D. 11.83 m

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

The difference is 2pi times the person's height,


so the ANSWER is  2%2A3.14%2A1.7 = 10.68 meters.


Indeed, the difference = 2%2Api%28R%2Bh%29 - 2%2Api%2AR = 2%2Api%2Ah.

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An amazing fact is that
    this difference does not depend on the value of the radius of the Earth (!)