document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148857>Question 1148857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A surveyor standing next to a hut on one side of a river sights a boulder on the other side and determines the angle from the hut to the boulder is 70o.  She then walks 100 meters parallel to the river until she arrives at a tree.  The angle to the boulder from the tree is 32o.  How far from the hut is the boulder? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770223 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=770223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A surveyor standing next to a hut on one side of a river sights a boulder on the other side and determines the angle from the hut to the boulder is 70o.<BR>\n" );
document.write( " She then walks 100 meters parallel to the river until she arrives at a tree.<BR>\n" );
document.write( " The angle to the boulder from the tree is 32o.<BR>\n" );
document.write( " How far from the hut is the boulder?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Draw this out as a triangle, we can find the 3 angles:<BR>\n" );
document.write( " 32 degrees<BR>\n" );
document.write( " 180 - 70 = 110 degrees<BR>\n" );
document.write( " 180 - 32 - 110 = 38 degrees<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the law of sines, find the dist from the hut to the bolder (s)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Fsin%2832%29 ALIGN=MIDDLE  ALT=\"s%2Fsin%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fsin%2838%29 ALIGN=MIDDLE  ALT=\"100%2Fsin%2838%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "sin(38)*s = sin(32)*100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin%2832%29%2A100%29%29%2Fsin%2838%29 ALIGN=MIDDLE  ALT=\"%28%28sin%2832%29%2A100%29%29%2Fsin%2838%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 86.1 meters </SPAN>\n" );
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