document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210916>Question 210916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the angle complementary to the angle 80°25'. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159328 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> angle complementary to 80 degrees 25 minutes is 90 degrees 0 minutes minus 80 degrees 25 minutes.<BR>\n" );
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document.write( "90 degrees 0 minutes is the same as 89 degrees 60 minutes.<BR>\n" );
document.write( "89 degrees 60 minutes minus 80 degrees 25 minutes equals:<BR>\n" );
document.write( "9 degrees 35 minutes.<BR>\n" );
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document.write( "your answer is:<BR>\n" );
document.write( "9 degrees 35 minutes<BR>\n" );
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document.write( "degrees can be measured in degrees minutes seconds<BR>\n" );
document.write( "there are 60 seconds to a minute<BR>\n" );
document.write( "there are 60 minutes to a degree<BR>\n" );
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document.write( "you can convert degrees in minutes seconds format to degrees in decimal format by:<BR>\n" );
document.write( "dividing the seconds by 60 to get minutes<BR>\n" );
document.write( "add these minutes to the existing minutes.<BR>\n" );
document.write( "dividing the minutes by 60 to get degrees<BR>\n" );
document.write( "add these degrees to the existing degrees.<BR>\n" );
document.write( "the result is degrees in decimal format.<BR>\n" );
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document.write( "example:<BR>\n" );
document.write( "80 degrees 31 minutes 48 seconds can be converted to decimal format by:<BR>\n" );
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document.write( "dividing 48 seconds by 60 to get .8 minutes<BR>\n" );
document.write( "add .8 minutes to 31 minutes to get 31.8 minutes<BR>\n" );
document.write( "divide 31.8 minutes by 60 to get .53 degrees<BR>\n" );
document.write( "add .53 degrees to 80 degrees to get 80.53 degrees.<BR>\n" );
document.write( "80 degrees 31 minutes 48 seconds is equivalent to 80.53 degrees.<BR>\n" );
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document.write( "you can convert degrees in decimal format to degrees in minute second format by:<BR>\n" );
document.write( "subtracting the integer portion of the degrees from the total degrees to leave the fractional part.<BR>\n" );
document.write( "multiply the fractional part of the degrees by 60 to get minutes.<BR>\n" );
document.write( "subtract the integer portion of the minutes from the total minutes to leave the fractional part.<BR>\n" );
document.write( "multiply the fractional part of the minutes by 60 to get seconds.<BR>\n" );
document.write( "the result is the degrees in minute second format.<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "take the 80.53 degrees that we derived earlier.<BR>\n" );
document.write( "subtract 80 degrees integer part to get .53 degrees fractional part.<BR>\n" );
document.write( "multiply .53 degrees by 60 to get 31.8 minutes<BR>\n" );
document.write( "subtract 31 minutes integer part to get .8 minutes fractional part.<BR>\n" );
document.write( "multiply by 60 to get 48 seconds<BR>\n" );
document.write( "add degrees and minutes and seconds together to get:<BR>\n" );
document.write( "80 degrees 31 minutes 48 seconds<BR>\n" );
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document.write( "80.53 degrees is equivalent to 80 degrees 31 minutes 48 seconds<BR>\n" );
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document.write( "your problem was solved directly, but could have been solved by converting to decimal format and then converting back again.<BR>\n" );
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document.write( "take 80 degrees 25 minutes<BR>\n" );
document.write( "divide 25 minutes by 60 to get .41666666667 degrees.<BR>\n" );
document.write( "add .41666666667 degrees to 80 degrees to get 80.41666666667 degrees.<BR>\n" );
document.write( "subtract 80.41666666667 degrees from 90 degrees to get the complementary angle of 9.5833333333 degrees.<BR>\n" );
document.write( "take the complementary angle of 9.5833333333 degrees and convert to minutes second format.<BR>\n" );
document.write( "9.5833333333 minus 9 = .5833333333 degrees fractional part.<BR>\n" );
document.write( ".5833333333 * 60 = 35 minutes<BR>\n" );
document.write( "complementary angle is 9 degrees 35 minutes.<BR>\n" );
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document.write( "this is the same answer that we derived earlier using direct subtraction in minute second format.<BR>\n" );
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document.write( " </SPAN>\n" );
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