document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70821>Question 70821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cable to the top of a tower makes an angle of 31deg with the level ground. At a point 100 yards closer to the tower the angle of elevation to the top of the tower is 57deg. Estimate the length of the cable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50702 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=50702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  cable to the top of a tower makes an angle of 31deg with the level ground. At a point 100 yards closer to the tower the angle of elevation to the top of the tower is 57deg. Estimate the length of the cable.<BR>\n" );
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document.write( "If the angle to the tower is 57 we know the interior angle is 180 - 57 = 123<BR>\n" );
document.write( "Let that angle be A and find the side opposite which is a<BR>\n" );
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document.write( "The third angle, which is opposite 100 yds is: 180 - 123 - 31 = 26 degrees<BR>\n" );
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document.write( "Use the law of sines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sin%28123%29%2Fa ALIGN=MIDDLE  ALT=\"Sin%28123%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sin%2826%29%2F100 ALIGN=MIDDLE  ALT=\"Sin%2826%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.83867%2Fa ALIGN=MIDDLE  ALT=\".83867%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.43837%2F100 ALIGN=MIDDLE  ALT=\".43837%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross multiply:<BR>\n" );
document.write( ".43837a = .83867*100<BR>\n" );
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document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=83.867%2F.43837 ALIGN=MIDDLE  ALT=\"83.867%2F.43837\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a = 191.3 yds\r<BR>\n" );
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