document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946528>Question 946528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Was told I used Tan incorrectly..<BR>\n" );
document.write( "During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base.\r<BR>\n" );
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document.write( "How tall was the pole before the windstorm?\r<BR>\n" );
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document.write( "Round your answer to one decimal place and show steps.<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 #577441 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "You want to be able to find the sum of the remaining vertical piece and the hypotenuse piece.\r<BR>\n" );
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document.write( "x=12<BR>\n" );
document.write( "y, unknown<BR>\n" );
document.write( "h, unknown hypotenuse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2875%29=y%2F12 ALIGN=MIDDLE  ALT=\"tan%2875%29=y%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=12%2Atan%2875%29 ALIGN=MIDDLE  ALT=\"y=12%2Atan%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Realize, the parts  of x, y, and h form a right-triangle and you can find h using Pythagorean Theorem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=h%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28x%5E2%2By%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28x%5E2%2By%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28144%2B144%2A%28tan%2875%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28144%2B144%2A%28tan%2875%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, you want to know the sum of y and h, the full length of the flag pole before it broke.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Atan%2875%29%2Bsqrt%28144%2B144%2A%28tan%2875%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"12%2Atan%2875%29%2Bsqrt%28144%2B144%2A%28tan%2875%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and should simplify,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2812%2Atan%2875%29%2B12%2Asqrt%281%2B%28tan%2875%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%2812%2Atan%2875%29%2B12%2Asqrt%281%2B%28tan%2875%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Approximation for the tan function of 75 degrees,<BR>\n" );
document.write( "tan(75)=3.7320 </SPAN>\n" );
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