document.write( "Question 986704: A ladder 5m long leans against a vertical wall with an angle of 70 to the ground. The ladder slips down the wall 2m down the ground. Find
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document.write( "(a) the new angle which the ladder makes on the ground
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document.write( "(b)the distance the ladder has sliped back on the ground from its original position
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document.write( "THANK YOU \n" );
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Algebra.Com's Answer #607496 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A ladder 5m long leans against a vertical wall with an angle of 70 to the ground. The ladder slips down the wall 2m down the ground. \n" ); document.write( "Draw the picture. \n" ); document.write( "-------------- \n" ); document.write( "You have two overlapping right triangles. \n" ); document.write( "---------- \n" ); document.write( "Original triangle measures:: \n" ); document.write( "base angle 70 degree \n" ); document.write( "hypotenuse 5 m \n" ); document.write( "height on wall 5*sin(70) = 4.7 meters \n" ); document.write( "----------------------------------------- \n" ); document.write( "Find \n" ); document.write( "(a) the new angle which the ladder makes on the ground \n" ); document.write( "New triangle measures:: \n" ); document.write( "hypotenuse 5 m \n" ); document.write( "height on wall 4.7-2 = 2.7 meters \n" ); document.write( "base angle:: sin^-1(2.7/5) = 32.68 degrees \n" ); document.write( "--------------------------\r \n" ); document.write( "\n" ); document.write( "(b)the distance the ladder has slipped back on the ground from its original position \n" ); document.write( "base = 5*cos(32.68)-5cos(70) = 2.5 meters \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |