document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162648>Question 162648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB is a line 652 ft long on one bank of a stream, and C is a point on the opposite bank. A=53 degree 18 min and B=48 degree 36 min. Find the width of the stream from C to AB. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119881 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "Okay, we'll mark point \"D\" along line \"AB\" where it extends to point \"C\" on the opposite bank. So line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28CD%29 ALIGN=MIDDLE  ALT=\"highlight%28CD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is what we're looking for right?<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "AB=652ft<BR>\n" );
document.write( "Points \"A\", \"B\", & \"C\" forms a triangle, where:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2853%5Eo%2918min=53.3%5Eo ALIGN=MIDDLE  ALT=\"A=%2853%5Eo%2918min=53.3%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, *note <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F60=0.30%5Eo ALIGN=MIDDLE  ALT=\"18%2F60=0.30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=%2848%5Eo%2936min=48.6%5Eo ALIGN=MIDDLE  ALT=\"B=%2848%5Eo%2936min=48.6%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, *note <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F60=0.60%5Eo ALIGN=MIDDLE  ALT=\"36%2F60=0.60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180-A-B=180-%2853.3%5Eo%29-%2848.6%5Eo%29 ALIGN=MIDDLE  ALT=\"C=180-A-B=180-%2853.3%5Eo%29-%2848.6%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=78.10%5Eo ALIGN=MIDDLE  ALT=\"C=78.10%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We need to get line \"CB\", by SINE LAW:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA%2FCB=sinC%2FAB ALIGN=MIDDLE  ALT=\"sinA%2FCB=sinC%2FAB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CB=%28sinA%2AAB%29%2FsinC=%28sin53.3%5Eo%29%28652ft%29%2F%28sin78.1%5Eo%29 ALIGN=MIDDLE  ALT=\"CB=%28sinA%2AAB%29%2FsinC=%28sin53.3%5Eo%29%28652ft%29%2F%28sin78.1%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CB=534.239ft ALIGN=MIDDLE  ALT=\"CB=534.239ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, points \"B\", \"C\", & \"D\" forms a right triangle, and we can solve for line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28CD%29 ALIGN=MIDDLE  ALT=\"highlight%28CD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by trigo functions. But 1st we solve for line DB:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosB=adj%2Fhyp=DB%2FCB ALIGN=MIDDLE  ALT=\"cosB=adj%2Fhyp=DB%2FCB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DB=%28cosB%29%28CB%29=%28cos48.6%5Eo%29%28534.239%29 ALIGN=MIDDLE  ALT=\"DB=%28cosB%29%28CB%29=%28cos48.6%5Eo%29%28534.239%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DB=353.30ft ALIGN=MIDDLE  ALT=\"DB=353.30ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> REMEMBER<BR>\n" );
document.write( "Now, for CD,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinB=opp%2Fhyp=CD%2FCB ALIGN=MIDDLE  ALT=\"sinB=opp%2Fhyp=CD%2FCB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=%28sinB%29%28CB%29=%28sin48.6%5Eo%29%28534.239%29 ALIGN=MIDDLE  ALT=\"CD=%28sinB%29%28CB%29=%28sin48.6%5Eo%29%28534.239%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28CD=400.71ft%29 ALIGN=MIDDLE  ALT=\"highlight%28CD=400.71ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ANSWER<BR>\n" );
document.write( "To check, we use trigo function TANGENT;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tanB=opp%2Fadj=CD%2FDB ALIGN=MIDDLE  ALT=\"tanB=opp%2Fadj=CD%2FDB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=%28tanB%29%28DB%29=%28tan48.6%5Eo%29%28353.30ft%29 ALIGN=MIDDLE  ALT=\"CD=%28tanB%29%28DB%29=%28tan48.6%5Eo%29%28353.30ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=400.74 ALIGN=MIDDLE  ALT=\"CD=400.74\"   DISABLED_style= \"max-width:90%; height:auto;\" >, close enough! Bec. we're rounding off<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );