document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978217>Question 978217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "I need help solving this please:<BR>\n" );
document.write( "A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set properly. From point A, the biologist walks downstream 100 feet and sights to point C (see figure). From this sighting, it is determined that &#952; = 59°. How wide is the river? \r<BR>\n" );
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document.write( "Please explain each step.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599689 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the Law of Sines<BR>\n" );
document.write( "a/sin a = c/sin c\r<BR>\n" );
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document.write( "There is a right triangle with the downstream leg 100 feet and angle to C 59 degrees.  <BR>\n" );
document.write( "sin 59/C  is width of river<BR>\n" );
document.write( "sin 31/A is 100 feet.  <BR>\n" );
document.write( "This is a right triangle\r<BR>\n" );
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document.write( "sin 31/100=sin 59/x<BR>\n" );
document.write( "0.5150/100=0.8572/width.<BR>\n" );
document.write( "Cross-multiply<BR>\n" );
document.write( "0.5150* width=85.72<BR>\n" );
document.write( "width=85.72/0.5150 = 166.45 feet. </SPAN>\n" );
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