eduwebwork2/csM M130Westmoreland/WeBwork o5/4/?key 2LqpGMuslucswF503Ghg28BYd12WA

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eduwebwork2/csM M130Westmoreland/WeBwork o5/4/?key 2LqpGMuslucswF503Ghg28BYd12WA2E&effectivelser; muqin&user; muqin&theme; webwork csm 30westmoreland webwork 05 4 m1 WeBWork 05: Problem 4 (1 pont This problem outines how Eratosthenes of syene approximated the diameter of the earth in approximately 200BC. By observing the shadow of the sun at noon he recognized that his home town of Alexandria was approximately 7.2 north of the town of Syene. He paid somebody to walk and measure the distance between Syene and Alexandria. Suppose it is 787 km. Based on these figures, the circumference of the earth is Hint: observe that 7.2 is to 360 degrees as walking 787 km is to walking the entire circumference You have attempted this problem timeo. You have unlimred amempts remaining .vention 2 to

Explanation / Answer

let x be the circumference of earth in KM

then the relation between the angle and distance can be described as

7.2/360=787/x
7.2x=787*360
x=787*360/7.2
x=39350km

therefore circumference of earth is 39350km

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