document.write( "Question 1115066: A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30° with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened. \n" ); document.write( "
Algebra.Com's Answer #729967 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30° with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened. \n" ); document.write( "---- \n" ); document.write( "Sketch the picture. \n" ); document.write( "You have a right triangle with base = 6 meters and base angle = 30 degrees. \n" ); document.write( "---- \n" ); document.write( "cos(30) = base/hypotenuse \n" ); document.write( "Ans: wire = hypotenuse = 6/cos(30) = 6/(sqrt(3)/2) = 12/sqrt(3) = 4*sqrt(3) ft \n" ); document.write( "Ans:: sin(30) = height/hypotenuse \n" ); document.write( "1/2 = height/4sqrt(3) \n" ); document.write( "height = 2sqrt(3) ft \n" ); document.write( "--------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " |