document.write( "Question 1193435: How far from the top must you cut a conical tent in order to cut the cloth in half? \n" ); document.write( "
Algebra.Com's Answer #825462 by Edwin McCravy(20055)\"\" \"About 
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document.write( "If the (linear) scale factor of two similar solids is k, then\r\n" );
document.write( "(a) all corresponding length properties of the two solids have scale factor k.\r\n" );
document.write( "(b) all corresponding area properties of the two solids have scale factor k2.\r\n" );
document.write( "(c) all corresponding volume properties of the two solids have scale factor k3.\r\n" );
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document.write( "Let k be the (linear) scale factor of similar cones ABC and ADE.\r\n" );
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document.write( "Then \"AD=k%2AAB\"\r\n" );
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document.write( "We are given that the corresponding surface areas have scale factor 2.\r\n" );
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document.write( "Therefore by (b) above, the scale factor of the surface areas is \r\n" );
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document.write( "k2 = 2. Therefore,\r\n" );
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document.write( "\"k=sqrt%282%29\" and \r\n" );
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document.write( "\"AD=sqrt%282%29%2AAB\"\r\n" );
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document.write( "\"AD%2FAB=sqrt%282%29\"\r\n" );
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document.write( "Taking reciprocals of both sides,\r\n" );
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document.write( "\"AB%2FAD=1%2Fsqrt%282%29\" which is approximately 0.707,\r\n" );
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document.write( "So to cut the cloth of the tent in half, you would cut it straight\r\n" );
document.write( "across from B to C, which is about 70.7% of its height from the top.\r\n" );
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document.write( "Edwin
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