document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026535>Question 1026535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman standing on the top of a hill sees a flagpole that she knows is 14 meter tall. The angle of depression to the bottom of the pole is 35 degrees<BR>\n" );
document.write( "and the angle of elevation to the top of the pole is 7 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1. Find her distance from the flag pole.<BR>\n" );
document.write( "2. Given that the flag pole is placed on the same ground level as the hill and the woman is 1.73 meter tall. How high is the hill?\r<BR>\n" );
document.write( "\n" );
document.write( "This is how far i have come up to:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "tan(7)=u/x<BR>\n" );
document.write( "tan(35)=d/x<BR>\n" );
document.write( "u+d=14 \r<BR>\n" );
document.write( "\n" );
document.write( "Given u = upper part of the pole (35 degrees)<BR>\n" );
document.write( "      d = lower part of the pole (7 degrees)\r<BR>\n" );
document.write( "\n" );
document.write( "I have done all i could but I'm not quite sure if i am right. Surprisingly, i have come up with some unusual values that i am uncertain about, so i just want to compare my answers with yours.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641753 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=641753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A little bit of algebra steps:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2Atan%287%29=u%2Cx%2Atan%2835%29=d%2Cu%2Bd=14%29 ALIGN=MIDDLE  ALT=\"system%28x%2Atan%287%29=u%2Cx%2Atan%2835%29=d%2Cu%2Bd=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=u%2Ftan%287%29%2Cx=d%2Ftan%2835%29%2Cu%2Bd=14%29 ALIGN=MIDDLE  ALT=\"system%28x=u%2Ftan%287%29%2Cx=d%2Ftan%2835%29%2Cu%2Bd=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=14-d ALIGN=MIDDLE  ALT=\"u=14-d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=%2814-d%29%2Ftan%287%29%2Cx=d%2Ftan%2835%29%29 ALIGN=MIDDLE  ALT=\"system%28x=%2814-d%29%2Ftan%287%29%2Cx=d%2Ftan%2835%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve either of those for d.  Choosing the tan(35) equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=x%2Atan%2835%29 ALIGN=MIDDLE  ALT=\"d=x%2Atan%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which we already had formed earlier.<BR>\n" );
document.write( "Substitute into the tan(7) equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2814-%28x%2Atan%2835%29%29%29%2Ftan%287%29 ALIGN=MIDDLE  ALT=\"x=%2814-%28x%2Atan%2835%29%29%29%2Ftan%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Continue solving for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Atan%287%29=14-x%2Atan%2835%29 ALIGN=MIDDLE  ALT=\"x%2Atan%287%29=14-x%2Atan%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Atan%287%29%2Bx%2Atan%2835%29=14 ALIGN=MIDDLE  ALT=\"x%2Atan%287%29%2Bx%2Atan%2835%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28tan%287%29%2Btan%2835%29%29=14 ALIGN=MIDDLE  ALT=\"x%28tan%287%29%2Btan%2835%29%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=14%2F%28tan%287%29%2Btan%2835%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=14%2F%28tan%287%29%2Btan%2835%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----use either table of values or scientific calculator for computing this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10.4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--<BR>\n" );
document.write( "That was question #1.  I did not try question 2. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );