document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894562>Question 894562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In traveling across a flat ground, you notice a building directly in front of you. Its angle of elevation (to the peak) is 79.63 degrees. After you walk 24 meters closer to the building, the angle of elevation is 83.74 degrees. Find the height of the building.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542164 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the figure:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28100%2C350%2C-80%2C20%2C-15%2C335%2C%0D%0Aline%28-80%2C0%2C20%2C0%29%2C%0D%0Arectangle%280%2C0%2C10%2C327.4%29%2C%0D%0Ared%28line%28-59.9%2C0%2C0%2C327.4%29%29%2C%0D%0Agreen%28line%28-35.9%2C0%2C0%2C327.4%29%29%2C%0D%0Arectangle%28-8%2C0%2C0%2C8%29%2C%0D%0Alocate%28-55%2C14%2C24%29%2Clocate%28-21%2C14%2Cx%29%2C%0D%0Alocate%28-8%2C170%2Cy%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > It has two right triangles: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28100%2C350%2C-80%2C20%2C-15%2C335%2C%0D%0Aline%28-80%2C0%2C20%2C0%29%2C%0D%0Arectangle%280%2C0%2C10%2C327.4%29%2C%0D%0Ared%28line%28-59.9%2C0%2C0%2C327.4%29%29%2C%0D%0Ared%28arc%28-59.9%2C0%2C30%2C30%2C-79.63%2C0%29%29%2C%0D%0Alocate%28-52%2C40%2Cred%2879.63%5Eo%29%29%2C%0D%0Arectangle%28-8%2C0%2C0%2C8%29%2C%0D%0Alocate%28-45%2C0%2Cx%2B24%29%2C%0D%0Alocate%28-8%2C170%2Cy%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28100%2C350%2C-80%2C20%2C-15%2C335%2C%0D%0Aline%28-80%2C0%2C20%2C0%29%2C%0D%0Arectangle%280%2C0%2C10%2C327.4%29%2C%0D%0Agreen%28line%28-35.9%2C0%2C0%2C327.4%29%29%2C%0D%0Agreen%28arc%28-39.9%2C0%2C30%2C30%2C-83.74%2C0%29%29%2C%0D%0Alocate%28-52%2C40%2Cgreen%2883.74%5Eo%29%29%2C%0D%0Arectangle%28-8%2C0%2C0%2C8%29%2C%0D%0Alocate%28-21%2C0%2Cx%29%2C%0D%0Alocate%28-8%2C170%2Cy%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can re-write the equations as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B24%29%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29 ALIGN=MIDDLE  ALT=\"y=%28x%2B24%29%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is really 3 equations in one.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B24%29%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29 ALIGN=MIDDLE  ALT=\"%28x%2B24%29%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Atan%2879.63%5Eo%29%2B24%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29 ALIGN=MIDDLE  ALT=\"x%2Atan%2879.63%5Eo%29%2B24%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29-x%2Atan%2879.63%5Eo%29 ALIGN=MIDDLE  ALT=\"24%2Atan%2879.63%5Eo%29=x%2Atan%2883.74%5Eo%29-x%2Atan%2879.63%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Atan%2879.63%5Eo%29=x%2A%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29 ALIGN=MIDDLE  ALT=\"24%2Atan%2879.63%5Eo%29=x%2A%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Atan%2879.63%5Eo%29%2F%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29=x ALIGN=MIDDLE  ALT=\"24%2Atan%2879.63%5Eo%29%2F%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "At this point, using the approximate values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28tan%2879.63%5Eo%29=5.464685%2Ctan%2883.74%5Eo%29=9.116232%29 ALIGN=MIDDLE  ALT=\"system%28tan%2879.63%5Eo%29=5.464685%2Ctan%2883.74%5Eo%29=9.116232%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , you could calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=35.917 ALIGN=MIDDLE  ALT=\"x=35.917\"   DISABLED_style= \"max-width:90%; height:auto;\" >(rounded),<BR>\n" );
document.write( "but you do not need to report/write the value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so you can keep calculating (just multiply times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2883.74%5Eo%29=9.116232 ALIGN=MIDDLE  ALT=\"tan%2883.74%5Eo%29=9.116232\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > as shown below.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=x%2Atan%2883.74%5Eo%29%2Cx=24%2Atan%2879.63%5Eo%29%2F%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24%2Atan%2879.63%5Eo%29%2Atan%2883.74%5Eo%29%2F%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29 ALIGN=MIDDLE  ALT=\"y=24%2Atan%2879.63%5Eo%29%2Atan%2883.74%5Eo%29%2F%28tan%2883.74%5Eo%29-tan%2879.63%5Eo%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using the approximate values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28tan%2879.63%5Eo%29=5.464685%2Ctan%2883.74%5Eo%29=9.116232%29 ALIGN=MIDDLE  ALT=\"system%28tan%2879.63%5Eo%29=5.464685%2Ctan%2883.74%5Eo%29=9.116232%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24%2A5.464685%2A9.116232%2F%289.116232-5.464685%29 ALIGN=MIDDLE  ALT=\"y=24%2A5.464685%2A9.116232%2F%289.116232-5.464685%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=327.4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=327.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded).<BR>\n" );
document.write( "The height of the building is 327 meters.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );