document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437230>Question 437230</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A kite flying 20 ft. above the ground is attached to a string 80 ft. long. The string is being held by a person on the ground.if the kite fell vertically to the ground, how far away from the stake would the kite land? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853278 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53427)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A kite flying 20 ft. above the ground is attached to a string 80 ft. long. <BR>\n" );
document.write( "The string is being held by a person on the ground. if the kite fell vertically to the ground, <BR>\n" );
document.write( "how far away from the stake would the kite land?<BR>\n" );
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document.write( "In his solution, @mananth uses this scheme\r<BR>\n" );
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document.write( "    Find sin of the angle --->  find arcsin  --->  find cos --->  find the horizontal distance.\r\n" );
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document.write( "In this scheme, one step is excessive.\r<BR>\n" );
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document.write( "The better scheme is\r<BR>\n" );
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document.write( "    find sin(a)  --->  find cos(a) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-sin%5E2%28a%29%29 ALIGN=MIDDLE  ALT=\"sqrt%281-sin%5E2%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  --->  find the horizontal distance.\r\n" );
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document.write( "I will use this improved scheme in my calculation\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)  &nbsp;&nbsp;Find  &nbsp;sin(a)  &nbsp;of angle of depression  &nbsp;&nbsp;sin(a) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F80 ALIGN=MIDDLE  ALT=\"20%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2)  &nbsp;&nbsp;Find  &nbsp;cos(a) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281+-+sin%5E2%28a%29%29 ALIGN=MIDDLE  ALT=\"sqrt%281+-+sin%5E2%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281+-+%281%2F4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281+-+%281%2F4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.968245837.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(3)  &nbsp;&nbsp;Horizontal distance = 80*cos(a) = 80*0.968245837 = 77.46 ft  &nbsp;(approximately).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U><BR>\n" );
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document.write( "It is how this problem IS EXPECTED to be solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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