document.write( "Question 913629: Hello, I'm having a hard time solving this problem:
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document.write( "A guy wire 40 feet long runs from the top of a pole to a spot on the ground. If the height of the pole is 5 feet more than the distance from the base of the pole to the spot where the guy wire is anchored, how tall is the pole? \n" );
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Algebra.Com's Answer #554623 by mananth(16946)![]() ![]() You can put this solution on YOUR website! distance from base of pole leg1= x m \n" ); document.write( "Height of pole leg2= x+ 5 m \n" ); document.write( "wire , Hypotenuse = 40 m \n" ); document.write( " \n" ); document.write( "Pythagoras theorem \n" ); document.write( " \n" ); document.write( "(Hyp)^2= (leg1)^2+ Leg2^2 \n" ); document.write( "Hypotenuse = 40 cm \n" ); document.write( "leg1= x cm \n" ); document.write( "Leg2= (x + 5 ) \n" ); document.write( " \n" ); document.write( "x^2 + (x + 5 ) ^2 + = 1600 \n" ); document.write( "x^2 + x^2 + 10 x+ 25 = 1600 \n" ); document.write( "2 x^2+10x -1575 = 0 \n" ); document.write( "/ 2 \n" ); document.write( "1 X^2 + 5 x-787.5 = 0 \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 1 ,b= 5 ,c= -787.5 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 25 - -3150 \n" ); document.write( "b^2-4ac= 3175 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( 51.35)/ 2 \n" ); document.write( "x1= 25.67 ft \n" ); document.write( "x2=( -5 -56.35 ) / 2 \n" ); document.write( "x2= -30.67 \n" ); document.write( "Ignore negative value \r \n" ); document.write( "\n" ); document.write( "Height of pole = 25.67+5= 30.67m \n" ); document.write( " \n" ); document.write( " |