document.write( "Question 754159: A 25 foot ladder is leaning against a house and forms a 32 degree angle with the ground to the nearest foot, how far above the ground does the ladder touch the house, also how far is the bottom of the ladder away from the house? \n" ); document.write( "
Algebra.Com's Answer #458830 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! A Trigonometric problem \n" ); document.write( "Imagine a right angled triangle \n" ); document.write( "The 25ft ladder is the hypotenuse \n" ); document.write( "The wall of the house is the opposite side \n" ); document.write( "The base is the adjacent side. \n" ); document.write( "The angle 32 degrees \n" ); document.write( "Using Sin = Opposite/Hypotenuse \n" ); document.write( "Sin 32 = Opposite/25 \n" ); document.write( "Opposite = Sin32 * 25 = 13.3 ft \n" ); document.write( "This is how far up the wall it rests on. \n" ); document.write( "Then we use Cos = adjacent/hypotenuse \n" ); document.write( " Cos 32 = adjacent/25 \n" ); document.write( "Adjacent = Cos 32 * 25 = 21.2 feet \n" ); document.write( "This is distance between ladder and wall \n" ); document.write( "on the ground. \n" ); document.write( "Hope this helps \n" ); document.write( ":-) \n" ); document.write( " |