document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204917>Question 1204917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sign is erected over top a street by attaching a wire to two lamp posts on either side of the street. If the wire hangs down 3.5 m from the point of attachment on the lamp posts and the sign hangs 1.7 m closer to the lamp on the right. Find the angles of depression of the wire.\r<BR>\n" );
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document.write( "https://ibb.co/D1Jbk4P </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841459 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Diagram<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Aline%28-2%2C-2%2C3%2C-2%29%2Cline%283%2C-2%2C3%2C2%29%2Cline%283%2C2%2C-2%2C2%29%2Cline%28-2%2C2%2C1%2C0%29%2Cline%281%2C0%2C3%2C2%29%2Cline%28-2%2C2%2C-2%2C-2%29%2Cline%281%2C0%2C1%2C2%29%2C%0D%0A%0D%0Alocate%28-2.18%2C-2.22%2C%22A%22%29%2Clocate%282.9%2C-2.16%2C%22B%22%29%2Clocate%283.22%2C2.28%2C%22C%22%29%2Clocate%28-2.22%2C2.46%2C%22D%22%29%2Clocate%280.92%2C-0.24%2C%22E%22%29%2Clocate%280.92%2C-0.24%2B2.8%2C%22F%22%29%2Clocate%280.24%2C-2.2%2C%2232.0%22%29%2Clocate%28-0.74%2C2.4%2C%22x%22%29%2Clocate%281.68%2C2.38%2C%22x-1.7%22%29%2Clocate%281.14%2C1.42%2C%223.5%22%29%2C%0D%0A%0D%0Alocate%28-4%2C-4%2Cmatrix%281%2C4%2C%22Diagram%22%2C%22not%22%2C%22to%22%2C%22scale%22%29%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The horizontal segments DF and FC add to 32.0 meters since AB = 32.0\r<BR>\n" );
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document.write( "DF + FC = 32.0<BR>\n" );
document.write( "x + x - 1.7 = 32.0<BR>\n" );
document.write( "2x - 1.7 = 32.0<BR>\n" );
document.write( "2x = 32.0 + 1.7<BR>\n" );
document.write( "2x = 33.7<BR>\n" );
document.write( "x = 33.7/2<BR>\n" );
document.write( "x = 16.85\r<BR>\n" );
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document.write( "For right triangle DEF we have legs DF = x = 16.85 and EF = 3.5<BR>\n" );
document.write( "tan(angle) = opposite/adajcent<BR>\n" );
document.write( "tan(D) = EF/DF<BR>\n" );
document.write( "tan(D) = 16.85/3.5<BR>\n" );
document.write( "tan(D) = 4.814286<BR>\n" );
document.write( "D = arctan(4.814286)<BR>\n" );
document.write( "D = 78.265663<BR>\n" );
document.write( "<font color=red>Angle FDE = 78.265663</font>  is one approximate angle of depression on the left side.\r<BR>\n" );
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document.write( "Now focus on right triangle CEF.<BR>\n" );
document.write( "FC = x - 1.7 = 16.85 - 1.7 = 15.15<BR>\n" );
document.write( "then,<BR>\n" );
document.write( "tan(angle) = opposite/adajcent<BR>\n" );
document.write( "tan(C) = EF/FC<BR>\n" );
document.write( "tan(C) = 3.5/15.15<BR>\n" );
document.write( "tan(C) = 0.231023<BR>\n" );
document.write( "C = arctan(0.231023)<BR>\n" );
document.write( "C = 13.008421<BR>\n" );
document.write( "<font color=red>Angle FCE = 13.008421</font> is another approximate angle of depression on the right side.<BR>\n" );
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