document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040554>Question 1040554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To estimate the height of a building above a level plain, a surveyor measures the angle of elevation to the top of the building to be 28.5 degrees. Three hundred feet closer to the building the angle of elevation is 32.5 degrees. Estimate the height of the building. Round your answer to the nearest foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655403 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the height of the building<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in the 1st case from<BR>\n" );
document.write( "surveyor to base of building<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+28.5+%29+=+h%2Fd+ ALIGN=MIDDLE  ALT=\"+tan%28+28.5+%29+=+h%2Fd+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+32.5+%29+=+h%2F%28+d+-+100+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+32.5+%29+=+h%2F%28+d+-+100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.54296+=+h%2Fd+ ALIGN=MIDDLE  ALT=\"+.54296+=+h%2Fd+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.63707+=+h%2F%28+d+-+100+%29+ ALIGN=MIDDLE  ALT=\"+.63707+=+h%2F%28+d+-+100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.54296d+ ALIGN=MIDDLE  ALT=\"+h+=+.54296d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.63707%2A%28+d+-+100+%29+ ALIGN=MIDDLE  ALT=\"+h+=+.63707%2A%28+d+-+100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.54296d+=+.63707d+-+63.707+ ALIGN=MIDDLE  ALT=\"+.54296d+=+.63707d+-+63.707+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.09411d+=+63.707+ ALIGN=MIDDLE  ALT=\"+.09411d+=+63.707+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+676.94+ ALIGN=MIDDLE  ALT=\"+d+=+676.94+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.54296d+ ALIGN=MIDDLE  ALT=\"+h+=+.54296d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.54296%2A676.94+ ALIGN=MIDDLE  ALT=\"+h+=+.54296%2A676.94+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+367.55+ ALIGN=MIDDLE  ALT=\"+h+=+367.55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height is 368 ft to the nearest foot<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.54296+=+h%2Fd+ ALIGN=MIDDLE  ALT=\"+.54296+=+h%2Fd+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.54296+=+367.55+%2F+676.94+ ALIGN=MIDDLE  ALT=\"+.54296+=+367.55+%2F+676.94+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.54296+=+.54296+ ALIGN=MIDDLE  ALT=\"+.54296+=+.54296+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.63707+=+h%2F%28+d+-+100+%29+ ALIGN=MIDDLE  ALT=\"+.63707+=+h%2F%28+d+-+100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.63707+=+367.55%2F%28+676.94+-+100+%29+ ALIGN=MIDDLE  ALT=\"+.63707+=+367.55%2F%28+676.94+-+100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.63707+=+367.55+%2F+576.94+ ALIGN=MIDDLE  ALT=\"+.63707+=+367.55+%2F+576.94+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.63707+=+.63707+ ALIGN=MIDDLE  ALT=\"+.63707+=+.63707+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );