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Calculation for circumference

Terre · 2016-01-04 14:43:24

I am stuck on the question below, would be grateful for some help Given that at noon on Midsummer Day the tip of One World Trade Center (height 546 m) casts a shadow that is 165 m long, calculate the circumference of the Earth. I think you find the tangent of the angle for the height and shadow, but what you do after to…

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04-01-2016 3:43pm

#1

Terre

Registered Users Posts: 54 ✭✭

Join Date: November 2013

Posts: 35

I am stuck on the question below, would be grateful for some help

Given that at noon on Midsummer Day the tip of One World Trade Center (height 546 m) casts a shadow that is 165 m long, calculate the circumference of the Earth.

I think you find the tangent of the angle for the height and shadow, but what you do after to get the circumference I do not know. I think you need two locations (one obviously NY and other along the same meridian).

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#2 05-01-2016 2:57pm
Yakuza

Registered Users Posts: 5,141 ✭✭✭

Join Date: November 1999

Posts: 5008

I think you're right, there isn't enough information there to do the calcs, if you're using this method: https://www.khanacademy.org/partner-content/nasa/measuringuniverse/measure_the_solarsystem/v/eratosthenes_measures_earth

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