# Measurement s known values syene to alexandria is a

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Measurements (known values): Syene to Alexandria is a distance ≈5,000 stadia. The angle = 7°.Also, a Greek stadium is ≈ 1/6thkm.[Hint: Convert 1/6thkm to a decimal. Round this value todecimals.]The modern value of Earth’s circumference is 40,100km. Compare your (Eratosthenes’) answer tothis. Note thisproportion:7°/360° ~ 5000 stadia/circumference of Earth in stadiaAncient stadium could vary from 157 m (515 ft) to 209 m (686 ft).4ERight triangleSEePS1 AUrE= EarthS= SunP= PlanetFrom geometry, we know that SP = r and SE = 1. (By definition, the distance SEfrom Earth to Sun is 1 AU = 1.496×108km.) The angle e = 22.8°. One of theproperties of a right triangle is r = sin (e) in AU. (You need your scientific calculatorto determine sin e.) Also,convert Mercury’s distance in AU to kilometers.Circumference in stadia:_______________________________Round to a whole number.[10 pts]Circumference in kilometers:___________________________Round to a whole number.[10 pts]Mercury’sdistance:______________________AUMercury’s distance:_____________________________km(use scientific notation)[10 pts](Round to2decimals)[10 pts](Round to1decimal.)Caution! Make sure that your

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