Thursday, January 15, 1998

Physics Problem HELP NEEDED ASAP?

Assume that the Earth is spherical and recall that latitudes range from 0° at the Equator to 90° N at the North Pole.Croatia (45.82° N latitude), and Italy (38.18° N latitude). The two cities lie on approximately the same longitude.If one could burrow through the Earth and dig a straight-line tunnel from Criatia to Italy, how long would the tunnel be?
the ans from back of book says 8.49x10 ^ 5 but i dont know how they got this any help

Answer on Physics Problem HELP NEEDED ASAP?

draw the circle (Earth)
draw the chord connecting the two places
draw radii to the ends of the chord
now you have an isosceles triangle
the central angle (vertex) is (45.82 - 38.18)
use Law of Cosines to find the chord (answer)