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)\"\" \"About 
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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 :-)
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