document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140020>Question 1140020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve this problem regarding some building's height? it goes like this:\r<BR>\n" );
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document.write( "\"Find the height of a building if the angle<BR>\n" );
document.write( "of elevation to the top of the building changes from 18° to 37°<BR>\n" );
document.write( "as an observer moves a distance of 80 feet toward the building.\"\r<BR>\n" );
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document.write( "Figure regarding the height of the building:\r<BR>\n" );
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document.write( "https://i.imgur.com/2Zno0OW.png\r<BR>\n" );
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document.write( "As usual, thanks in advance!\r<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 #760474 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=760474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the height of a building if the angle of elevation to the top of the building changes from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" >° to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37 ALIGN=MIDDLE  ALT=\"37\"   DISABLED_style= \"max-width:90%; height:auto;\" >° as an observer moves a distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80+ ALIGN=MIDDLE  ALT=\"80+\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet toward the building.\r<BR>\n" );
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document.write( " observer moves a distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80 ALIGN=MIDDLE  ALT=\"80\"   DISABLED_style= \"max-width:90%; height:auto;\" > (from original point) feet toward the building, and rest of a distance to building 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;\" > \r<BR>\n" );
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document.write( "observe triangle with legs <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;\" >(height)\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28+37%29=h%2Fx ALIGN=MIDDLE  ALT=\"tan+%28+37%29=h%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=h%2Ftan+%28+37%29 ALIGN=MIDDLE  ALT=\"x=h%2Ftan+%28+37%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "total distance from the building is<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B80=h%2Ftan+%28+37%29%2B80 ALIGN=MIDDLE  ALT=\"x%2B80=h%2Ftan+%28+37%29%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then triangle with legs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B80 ALIGN=MIDDLE  ALT=\"x%2B80\"   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+%28+18%29=h%2F%28h%2Ftan+%28+37%29%2B80%29 ALIGN=MIDDLE  ALT=\"tan+%28+18%29=h%2F%28h%2Ftan+%28+37%29%2B80%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=%28h%2Ftan+%28+37%29%2B80%29%2Atan+%28+18%29=h ALIGN=MIDDLE  ALT=\"%28h%2Ftan+%28+37%29%2B80%29%2Atan+%28+18%29=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=%28%28h%2Atan+%28+18%29%29%2Ftan+%28+37%29%29%2B80%2Atan+%28+18%29=h ALIGN=MIDDLE  ALT=\"%28%28h%2Atan+%28+18%29%29%2Ftan+%28+37%29%29%2B80%2Atan+%28+18%29=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=h%28tan+%28+18%29%2Ftan+%28+37%29%29%2B80%2Atan+%28+18%29=h ALIGN=MIDDLE  ALT=\"h%28tan+%28+18%29%2Ftan+%28+37%29%29%2B80%2Atan+%28+18%29=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=h%28tan+%28+18%29%2Ftan+%28+37%29%29-h=-80%2Atan+%28+18%29 ALIGN=MIDDLE  ALT=\"h%28tan+%28+18%29%2Ftan+%28+37%29%29-h=-80%2Atan+%28+18%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=h%28tan+%28+18%29%2Ftan+%28+37%29-1%29=-80%2Atan+%28+18%29 ALIGN=MIDDLE  ALT=\"h%28tan+%28+18%29%2Ftan+%28+37%29-1%29=-80%2Atan+%28+18%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=h=%28-80%2Atan+%28+18%29%29%2F%28tan+%28+18%29%2Ftan+%28+37%29-1%29 ALIGN=MIDDLE  ALT=\"h=%28-80%2Atan+%28+18%29%29%2F%28tan+%28+18%29%2Ftan+%28+37%29-1%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=h=45.7ft ALIGN=MIDDLE  ALT=\"h=45.7ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> height of the building\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=45.7%2Ftan+%28+37%29=60.65ft ALIGN=MIDDLE  ALT=\"x=45.7%2Ftan+%28+37%29=60.65ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "ad total distance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2B60.65=140.65ft ALIGN=MIDDLE  ALT=\"80%2B60.65=140.65ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check angles:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%2845.7%2F60.65%29=37 ALIGN=MIDDLE  ALT=\"tan%5E-1%2845.7%2F60.65%29=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%2845.7%2F140.65%29=18 ALIGN=MIDDLE  ALT=\"tan%5E-1%2845.7%2F140.65%29=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >°...which confirms solution\r<BR>\n" );
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