Trigonometry problem
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From: Fred Nurk on 8 Jul 2010 01:59 A sphere of radius length 8 cm rests on the top of a hollow inverted cone of height 15 cm whose vertical angle is 60 degrees. Find the height of the centre of the sphere above the vertex of the cone. Where is the vertical angle located on a cone? TIA, Fred
From: Alois Steindl on 8 Jul 2010 02:08 Am 08.07.2010 07:59, schrieb Fred Nurk: > A sphere of radius length 8 cm rests on the top of a hollow inverted cone > of height 15 cm whose vertical angle is 60 degrees. Find the height of > the centre of the sphere above the vertex of the cone. > > Where is the vertical angle located on a cone? > > TIA, > Fred Hello, you should be able to find that out either from your textbook or by a google search with proper keywords. It should also be obvious, if you draw a sketch of a cone. Alois
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From: Fred Nurk on 8 Jul 2010 03:01 Alois Steindl wrote: > <snip> > Hello, > you should be able to find that out either from your textbook or by a > google search with proper keywords. It's not in my textbook. I can't Google *that* well... > It should also be obvious, if you draw a sketch of a cone. I *completely* disagree. You can go from the curve to a table or the curve to the height of the cone. Fred.
From: Francois Grieu on 8 Jul 2010 04:34
On 08/07/2010 07:59, Fred Nurk wrote: > Am 08.07.2010 07:59, schrieb Fred Nurk: >> A sphere of radius length 8 cm rests on the top of a hollow inverted cone >> of height 15 cm whose vertical angle is 60 degrees. Find the height of >> the centre of the sphere above the vertex of the cone. >> >> Where is the vertical angle located on a cone? I would bet for the angle between the lines formed by the intersection of the cone with a plane that include the axis, with this axis bisecting that angle (rather than outside). In other words, twice the angle from axis to any line on the cone going through the center. Francois Grieu |