document.write( "Question 356855: When a plane flies directly from New York to London and then to Nairobi and
\n" ); document.write( "back to New York, it flies along the sides of a spherical triangle, approximately following the surface of Earth. On a sphere, the shortest path between two points is along an arc of a great circle. A great circle is obtained when a plane through the center of the sphere intersects the
\n" ); document.write( "sphere. (An example of a great circle is the equator.) To obtain a great circle through two given points on the sphere, we need consider only a plane through the two points and the center of the sphere. A spherical triangle consists of three points on the sphere and arcs of great circles (the shortest path) connecting the points.\r
\n" ); document.write( "\n" ); document.write( "a. How many great circles go through the North Pole and the South Pole on the globe?
\n" ); document.write( "b. Describe a spherical triangle that has one vertex at the North Pole and the other two vertices on the
\n" ); document.write( "equator.
\n" ); document.write( "c. Is there a spherical triangle with three right angles? If so, find one. \n" ); document.write( "

Algebra.Com's Answer #254807 by Alan3354(69443) $\"\"$ $\"About$

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