document.write( "Question 1037266: An architextra designs a house that is 12 m wide. The rafters holding up the roof are equal length and meet at an angle of 68 degree. The rafters extend 0.6 m beyond the supporting wall. How long are the rafters? \n" ); document.write( "
Algebra.Com's Answer #651960 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Consider that the problem \n" ); document.write( "is an isosceles triangle. \n" ); document.write( "Two equal sides (the rafters \n" ); document.write( "from apex to supporting wall.) \n" ); document.write( "If the the top angle = 68 degrees, \n" ); document.write( "then the two side angles each = \n" ); document.write( "(180 - 68)/2 = 56 degrees. \n" ); document.write( "Now label the triangle \n" ); document.write( "A where the 68 degrees are. \n" ); document.write( "B and C on opposing points \n" ); document.write( "of the triangle. \n" ); document.write( "Using Sine Rule \n" ); document.write( "a/SinA = b/sinB = c/Sinc \n" ); document.write( "We will use a/SinA = b/SinB \n" ); document.write( "12/Sin(68) = b/Sin(56) \n" ); document.write( "Cross multiply: \n" ); document.write( "b = 12 x Sin(56)/Sin(68) \n" ); document.write( "b = 10.73 m (2 decimal places) \n" ); document.write( "Rafter = 10.73 + 0.6 = 11.33 m. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |