document.write( "Question 1046158: There is a bamboo tree 22 feet tall. The upper part, of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break? \n" ); document.write( "

Algebra.Com's Answer #661653 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "There is a bamboo tree 22 feet tall. The upper end of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?
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document.write( "Let x be the height of the break.\r\n" );
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document.write( "Then you have an right angled triangle with the legs x ft and 8 ft.\r\n" );
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document.write( "The hypotenuse is .\r\n" );
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document.write( "The height of the bamboo tree is  , and it is equal to 22 ft.\r\n" );
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document.write( "Hence, the equation is \r\n" );
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document.write( " = 22.\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( " = 22 - x.\r\n" );
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document.write( "Square both sides\r\n" );
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document.write( " = ,  or\r\n" );
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document.write( " = ,\r\n" );
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document.write( "64 - 484 = -44x,\r\n" );
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document.write( "44x = 420,\r\n" );
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document.write( "x =  =  ft.\r\n" );
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document.write( "Answer.  The height of the break is  ft =  ft.\r\n" );
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document.write( "Check.   = .\r\n" );
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document.write( "         =  = 64,\r\n" );
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document.write( "         = 8.   Correct!\r\n" );
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