document.write( "Question 385854: A ladder positioned against a house has a slope of 4. The ladder touches the house at a height of 12 feet. What is the size of the ladder? \n" );
document.write( "The slope is 4. The angle between the ladder and the floor let be B.Let the ladder length BC.Let A the point where the floor meets the wall.The triangle ABC has AB perpendicular to AC. \n" );
document.write( " Then we have tan(B)=AC/AB . That is 4=12/AB. Let AB=x \n" );
document.write( "Thus 4/1=12/x. Then we have 4x=12 and x=12/4.So x=3 and AB=3. \n" );
document.write( "Let's use now the Pythagorean theorem to the triangle ABC. \n" );
document.write( " BC^2=AB^2+AC^2 \n" );
document.write( " BC^2=3^2+12^2 \n" );
document.write( " BC^2=9+144 \n" );
document.write( " BC^2=153 \n" );
document.write( " BC=sqr(153) \n" );
document.write( " BC=12,36... \n" );
document.write( "and this is the ladder size(12,36 ft) \n" );
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