document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192004>Question 1192004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A kite is flying on 250 feet of string. How high is it above the ground if its height is 146 feet more than the horizontal distance from the person flying​ it? Assume the string is being released at ground level.<BR>\n" );
document.write( "The kite is _____ ft above the ground. <BR>\n" );
document.write( "Thanks for your help!(: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823891 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=823891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Draw out a right triangle with the following properties:<ul><li>a = horizontal leg = x</li><li>b = vertical leg = height = x+146 (since it's 146 feet longer than the horizontal side)</li><li>c = hypotenuse = 250 ft string</li></ul>We'll need the pythagorean theorem to tie together the three sides mentioned.<BR>\n" );
document.write( "The goal is to find x, and then use that to compute x+146 to get the height.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B146%29%5E2+=+250%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B146%29%5E2+=+250%5E2\"   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%5E2+%2B+%28x%2B146%29%28x%2B146%29+=+250%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B146%29%28x%2B146%29+=+250%5E2\"   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%5E2+%2B+x%5E2%2B146x%2B146x%2B146%5E2+=+250%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2%2B146x%2B146x%2B146%5E2+=+250%5E2\"   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=2x%5E2%2B292x%2B21316+=+62500 ALIGN=MIDDLE  ALT=\"2x%5E2%2B292x%2B21316+=+62500\"   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=2x%5E2%2B292x-41184=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B292x-41184=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, apply the quadratic formula.<BR>\n" );
document.write( "We'll use a = 2, b = 292, c = -41184<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28292%29%2B-sqrt%28%28292%29%5E2-4%282%29%28-41184%29%29%29%2F%282%282%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28292%29%2B-sqrt%28%28292%29%5E2-4%282%29%28-41184%29%29%29%2F%282%282%29%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+=+%28-292%2B-sqrt%28414736%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28-292%2B-sqrt%28414736%29%29%2F%284%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+=+%28-292%2B-+++644%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28-292%2B-+++644%29%2F%284%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+=+%28-292%2B644%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28-292%2B644%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-292-644%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28-292-644%29%2F%284%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+=+%28352%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28352%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-936%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%28-936%29%2F%284%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+=+88 ALIGN=MIDDLE  ALT=\"x+=+88\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-234 ALIGN=MIDDLE  ALT=\"x+=+-234\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Negative lengths or distances don't make sense, so we ignore the negative x value.\r<BR>\n" );
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document.write( "We only focus on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+88 ALIGN=MIDDLE  ALT=\"x+=+88\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it leads to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B146+=+88%2B146+=+highlight%28234%29 ALIGN=MIDDLE  ALT=\"x%2B146+=+88%2B146+=+highlight%28234%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "<font color=red>The kite is 234 feet in the air</font><BR>\n" );
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