document.write( "Question 1167899: Please answer this question, I tried but I don't understand it.\r
\n" ); document.write( "\n" ); document.write( "Suppose a designer of a 10 ft. parabolic solar cooker wants to place the cooking pot 5 ft. above the vertex. For reference, the first considers a parabolic string with a base 10 ft. and a focus at 5 ft.from the vertex. How deep is the parabolic solar cooker?\r
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Algebra.Com's Answer #851354 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Please answer this question, I tried but I don't understand it.\r
\n" ); document.write( "\n" ); document.write( "Suppose a designer of a 10 ft. parabolic solar cooker wants to place the cooking pot 5 ft. above the vertex.
\n" ); document.write( "For reference, the first considers a parabolic string with a base 10 ft. and a focus at 5 ft. from the vertex.
\n" ); document.write( "How deep is the parabolic solar cooker?\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help!
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\n" ); document.write( "\n" ); document.write( "In this problem, you are given the size 10 ft of the opening of the parabolic solar cooker,
\n" ); document.write( "and the distance 5 ft from the vertex to the focus of the paraboloid (same as the place for cooking).\r
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\n" ); document.write( "\n" ); document.write( "They want you find the depth of the parabolic mirror.\r
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document.write( "To solve such problems,  use an equation of the parabolic cross-section (which is a parabola)\r\n" );
document.write( "in the form\r\n" );
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document.write( "    y = .    (1)\r\n" );
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document.write( "In this form, 'p' is the focal distance, i.e. the distance of 5 ft from the vertex \r\n" );
document.write( "to the cooking place;  x is half of the opening, i.e. 10/2 = 5 ft;  y is the depth of the paraboloid.\r\n" );
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document.write( "So, we substitute  p = 5 ft  and  x = 5 ft  into equation (1), and we get\r\n" );
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document.write( "    y =  =  =  ft = 1 ft.\r\n" );
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document.write( "At this point, the problem is completely solved.\r\n" );
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document.write( "ANSWER.  The depth of the paraboloid is 1 ft.\r\n" );
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