document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151057>Question 1151057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A surveyor at point A, measures the horizontal angle between a marker at point B (Further along his/her side of the river) and a tower on the opposite side of the river as 62 degrees. He/she walks 50m directly to point B where he/she measures the angle between point A and the tower to be 45 degrees.  \r<BR>\n" );
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document.write( "Draw a clearly labelled diagram showing this information and use it to calculate the distances between the tower and the two observation points.          <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772666 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+%0D%0A%0D%0Acircle%280%2C0%2C.12%29%2Ccircle%280%2C5.12%29%2Clocate%280%2C0%2CA%29%2Clocate%285%2C0%2CB%29%2Clocate%281%2C1%2C62%29%2Clocate%286%2C1%2C45%29%2Clocate%2814.4%2C9.4%2CC%29%2Clocate%2814.5%2C4.5%2Ch%29%2Cblue%28line%280%2C0%2C14.4%2C9.4%29%29%2Cblue%28line%285%2C0%2C14.4%2C9.4%29%29%2Cblue%28line%2814.4%2C0%2C14.4%2C9.4%29%29%2Clocate%283%2C1%2C50m%29%2Clocate%2810%2C1%2Cx%29%2C%0D%0A+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "first find the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2845%29=x%2Fh ALIGN=MIDDLE  ALT=\"tan%2845%29=x%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=x%2Ftan%2845%29 ALIGN=MIDDLE  ALT=\"h=x%2Ftan%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2845%29=1 ALIGN=MIDDLE  ALT=\"tan%2845%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=x ALIGN=MIDDLE  ALT=\"h=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2862%29=%2850%2Bx%29%2Fh ALIGN=MIDDLE  ALT=\"tan%2862%29=%2850%2Bx%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >......since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=x ALIGN=MIDDLE  ALT=\"h=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2862%29=%2850%2Bx%29%2Fx ALIGN=MIDDLE  ALT=\"tan%2862%29=%2850%2Bx%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2862%29=50%2Fx%2B1 ALIGN=MIDDLE  ALT=\"tan%2862%29=50%2Fx%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2862%29 ALIGN=MIDDLE  ALT=\"tan%2862%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&asymp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.880726465346332 ALIGN=MIDDLE  ALT=\"1.880726465346332\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.880726465346332-1=50%2Fx ALIGN=MIDDLE  ALT=\"1.880726465346332-1=50%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.880726465346332=50%2Fx ALIGN=MIDDLE  ALT=\"0.880726465346332=50%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50%2F0.880726465346332 ALIGN=MIDDLE  ALT=\"x=50%2F0.880726465346332\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=56.77m ALIGN=MIDDLE  ALT=\"x=56.77m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2Bx=50%2B56.77=106.77m ALIGN=MIDDLE  ALT=\"50%2Bx=50%2B56.77=106.77m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=56.77m ALIGN=MIDDLE  ALT=\"h=56.77m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the distances between the tower and the two observation points:\r<BR>\n" );
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document.write( "the distance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=sqrt%28106.77%5E2%2B56.77%5E2%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%28106.77%5E2%2B56.77%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=120.9m ALIGN=MIDDLE  ALT=\"AC=120.9m\"   DISABLED_style= \"max-width:90%; height:auto;\" >->the distance between the tower and the observation point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%2856.77%5E2%2B56.77%5E2%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%2856.77%5E2%2B56.77%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=80.3m ALIGN=MIDDLE  ALT=\"BC=80.3m\"   DISABLED_style= \"max-width:90%; height:auto;\" >->the distance between the tower and the observation point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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