document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129291>Question 1129291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To find the distance between two points A and B on opposite sides of a river, a surveyor measures out a base liner AC that is 25 m long. He then measures angle A = 82 degrees and angle C = 69 degrees. Calculate the distance AB </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745973 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the distance between two points A and B on opposite sides of a river,<BR>\n" );
document.write( " a surveyor measures out a base liner AC that is 25 m long.<BR>\n" );
document.write( " He then measures angle A = 82 degrees and angle C = 69 degrees.<BR>\n" );
document.write( " Calculate the distance AB<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find the 3rd angle B<BR>\n" );
document.write( "180 - 82 - 69 = 29 degrees<BR>\n" );
document.write( "let d = AB, the distance across the river<BR>\n" );
document.write( "Use the law of signs to find d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fsin%2869%29 ALIGN=MIDDLE  ALT=\"d%2Fsin%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Fsin%2829%29 ALIGN=MIDDLE  ALT=\"25%2Fsin%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sin(29)*d = sin(69)*25<BR>\n" );
document.write( ".4048d = 23.34<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23.34%2F.4048 ALIGN=MIDDLE  ALT=\"23.34%2F.4048\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 48.14 m distance AB </SPAN>\n" );
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