document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044038>Question 1044038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From the stage of a theater, the angle of elevation to the first balcony is 19 degrees. The angle of elevation to the second balcony, 6.3 meters directly above the first, is 29 degrees. How high above stage level is the first balcony, to the nearest tenth of a meter?\r<BR>\n" );
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document.write( "a. 8.5 meters<BR>\n" );
document.write( "b. 10.3 meters<BR>\n" );
document.write( "c. 12.4 meters<BR>\n" );
document.write( "d. 14.2 meters<BR>\n" );
document.write( "e. 16 meters </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659272 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=659272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "let the horizontal distance from the balconies be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if the height to  the 1st balcony is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  than the height to  the  2nd balcony is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6.3 ALIGN=MIDDLE  ALT=\"x%2B6.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " if the angle of elevation to the first balcony is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19 ALIGN=MIDDLE  ALT=\"19\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, you use right angle triangle whose legs are <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=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2819%29=x%2Fy ALIGN=MIDDLE  ALT=\"tan%2819%29=x%2Fy\"   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=y=x%2Ftan%2819%29 ALIGN=MIDDLE  ALT=\"y=x%2Ftan%2819%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the second balcony, 6.3 meters directly above the first, is 29 degrees, so we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2829%29=%28x%2B6.3%29%2Fy ALIGN=MIDDLE  ALT=\"tan%2829%29=%28x%2B6.3%29%2Fy\"   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=y=%28x%2B6.3%29%2Ftan%2829%29 ALIGN=MIDDLE  ALT=\"y=%28x%2B6.3%29%2Ftan%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > same in both cases, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ftan%2819%29=%28x%2B6.3%29%2Ftan%2829%29 ALIGN=MIDDLE  ALT=\"x%2Ftan%2819%29=%28x%2B6.3%29%2Ftan%2829%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=x%2F0.34432761=%28x%2B6.3%29%2F0.5543 ALIGN=MIDDLE  ALT=\"x%2F0.34432761=%28x%2B6.3%29%2F0.5543\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5543x=0.34432761%28x%2B6.3%29 ALIGN=MIDDLE  ALT=\"0.5543x=0.34432761%28x%2B6.3%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=0.5543x=0.34432761x%2B2.169263943 ALIGN=MIDDLE  ALT=\"0.5543x=0.34432761x%2B2.169263943\"   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=0.5543x-0.34432761x=2.169263943 ALIGN=MIDDLE  ALT=\"0.5543x-0.34432761x=2.169263943\"   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=0.209972+x=2.169263943 ALIGN=MIDDLE  ALT=\"0.209972+x=2.169263943\"   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=2.169263943%2F0.209972 ALIGN=MIDDLE  ALT=\"x=2.169263943%2F0.209972\"   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=10.3312057941 ALIGN=MIDDLE  ALT=\"x=10.3312057941\"   DISABLED_style= \"max-width:90%; height:auto;\" >...round it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10.3 ALIGN=MIDDLE  ALT=\"x=10.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "so, your answer is: b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.3 ALIGN=MIDDLE  ALT=\"10.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters<BR>\n" );
document.write( " </SPAN>\n" );
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