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April 23, 2014

April 23, 2014

Posted by **rachel** on Saturday, March 3, 2012 at 9:31pm.

If one could burrow through the Earth and dig a straight-line tunnel from Dubuque to Guatemala City, how long would the tunnel be?

- physics -
**drwls**, Saturday, March 3, 2012 at 9:39pmThe subtended angle between the two cities, measured from the Earth's center, is 42.50-14.62 = 27.88 degrees

(You can take the difference of the two latitudes since the longitudes are the same.)

The distance you want is the base of an isosceles triangle with two equal sides R (the earth radius) and apex angle A = 27.88 degrees.

R = 6370 km

Tunnel Length = 2*R*sin(A/2)= 3069 km

- physics -
**rachel**, Saturday, March 3, 2012 at 10:19pmthanks

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