document.write( "Question 78210This question is from textbook
\n" ); document.write( ": An architect designs a house that is 12 m wide. The rafters holding up the roof are equal in length and meet at an angle of 70 degrees. The rafters extend 0.3 m beyond the supporting wall. How long are the rafters? \n" ); document.write( "

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An architect designs a house that is 12 m wide. The rafters holding up the roof are equal in length and meet at an angle of 70 degrees. The rafters extend 0.3 m beyond the supporting wall. How long are the rafters?
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\n" ); document.write( "If you draw rough diagram of this, it will help; The roof and the ceiling form
\n" ); document.write( "2 back-to-back right triangles
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\n" ); document.write( "It bisects the top angle so the top angle of the right triangle would be 35 degrees.
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\n" ); document.write( "Half the width of 12 m forms the lower side of the triangle: 6 m
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\n" ); document.write( "The rafter (not counting the .3 m overhang) is the hypotenuse, call it h:
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\n" ); document.write( "We can use the sine of 35 degrees to find the hypotenuse: (side opposite/hypot)
\n" ); document.write( ":
\n" ); document.write( "sin(35) = 6/h
\n" ); document.write( ".573576 = 6/h
\n" ); document.write( "h = 6/.573576
\n" ); document.write( "h = 10.46 + .3 = 10.76 meters is the length of the rafters
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\n" ); document.write( "Did this make sense to you?
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