document.write( "Question 158705: I re-submitted this question. I had missing data, sorry!\r
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\n" ); document.write( "\n" ); document.write( "An A-frame lake house is 21 feet wide.If the roof of the home makes a 45 degree angle with the base of the home,what is the length of the house from ground level to the peak of the roof? \r
\n" ); document.write( "\n" ); document.write( "Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin.\r
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Algebra.Com's Answer #116973 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
(180-45)/2=135/2=67.5 is the angle to the peak.
\n" ); document.write( "tan67.5=2.414
\n" ); document.write( "2.414(21/2)=25.34 is the height of the A-frame
\n" ); document.write( "10.5^2+25.34^2=c^2
\n" ); document.write( "110.25+642.12=c^2
\n" ); document.write( "752.366=c^2
\n" ); document.write( "c=sqrt752.366
\n" ); document.write( "c=27.43 ft. is the distance from the ground to the peak.
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