document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701065>Question 701065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angle a kite string makes with the ground is 24º. If 80 m of string has been let out, how high is the kite above the ground?\r<BR>\n" );
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document.write( "The angles of elevation from a point A and a point B to the top of a mountain 780m high are shown. Point A is 67 degrees and point B is 48 degrees. How long would a tunnel be through the mountain, connecting A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432187 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The kite is vertically above the ground. height ?<BR>\n" );
document.write( "The length of sting = hypotenuse= 80m<BR>\n" );
document.write( "The angle of elevation = 24 deg.\r<BR>\n" );
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document.write( "Sin theta = opposite side/ hypotenuse\r<BR>\n" );
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document.write( "sin 24 = opposite side/80\r<BR>\n" );
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document.write( "height of kite = 80 * sin 24\r<BR>\n" );
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document.write( "use calc to find the height\r<BR>\n" );
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document.write( ".....\r<BR>\n" );
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document.write( "Point A elevation is 67 deg<BR>\n" );
document.write( "point B elevation = 48 deg.\r<BR>\n" );
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document.write( "height of mountain = 780 m\r<BR>\n" );
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document.write( "A to mountain foot distance =  780/Tan 67 .............. (1)<BR>\n" );
document.write( "B to mountain foot distance =  780/tan 48 ..................(2)\r<BR>\n" );
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document.write( "distance AB = (2)-(1)\r<BR>\n" );
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document.write( "780/1.11  -780/2.35 \r<BR>\n" );
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document.write( "about 370.8 m is the length of the tunnel. </SPAN>\n" );
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