document.write( "Question 181640: Guy Wire. How long is a guy wire reaching from the top of a 12-ft pole to a point on the ground 8 feet from the pole? \n" ); document.write( "
Algebra.Com's Answer #136267 by eperette(173)![]() ![]() ![]() You can put this solution on YOUR website! This is a typical right triangle problem, how should you know:\r \n" ); document.write( "\n" ); document.write( "(1) Draw a figure: the pole must be straight up (leg of triangle), from the bottom of the pole to the point where the wire will connect to the floor is another leg of triangle, and the wire is slanted from top of pole to floor.\r \n" ); document.write( "\n" ); document.write( "(2) You use pythagorean theorem to solve problems where (a) it is a right triangle, (b) you know two side's lenghts of the triangle and need to find missing side length. \n" ); document.write( "a^2 + b^2 = c^2 ; where c is the longest side (hypoteneus, accros from 90 degree angle)\r \n" ); document.write( "\n" ); document.write( "ANSWER:\r \n" ); document.write( "\n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "(8)^2 + b^2 = (12)^2 \n" ); document.write( "64 + b^2 = 144 \n" ); document.write( "64-64 + b^2 = 144 - 64 \n" ); document.write( "b^2 = 80 \n" ); document.write( "sqr(b^2)= sqr(80) \n" ); document.write( "b= sqr(80) \n" ); document.write( "b= sqr(16*5) \n" ); document.write( "b=sqr(16)* sqr(5) \n" ); document.write( "b= 4sqr(5)\r \n" ); document.write( "\n" ); document.write( "where sqr means square root \n" ); document.write( " |