document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072600>Question 1072600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Randol was flying a kite. The 59 ft long kite makes a 24º angle with the ground, but got stuck in a tree. To keep the string from getting tangled, Randol put it under a rock 34 ft away from the tree. Randol learned that in order to get the kite out of the tree, the ladder must make a 75¤ angle with the ground and meet the kite. How long is the ladder? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687595 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 59 ft long kite makes a 24º angle with the ground, but got stuck in a tree.<BR>\n" );
document.write( " To keep the string from getting tangled, Randol put it under a rock 34 ft away from the tree.<BR>\n" );
document.write( " Randol learned that in order to get the kite out of the tree, the ladder must make a 75¤ angle with the ground and meet the kite.<BR>\n" );
document.write( " How long is the ladder?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find the height of the kite in the tree<BR>\n" );
document.write( "Use the sin of 24 degrees, where h is the side opposite and the kit string, 59 ft is the hypotenuse<BR>\n" );
document.write( "sin(24) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F59 ALIGN=MIDDLE  ALT=\"h%2F59\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 59*.4067<BR>\n" );
document.write( "h = 24 ft is the height of the kite<BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is something wrong with this scenario.<BR>\n" );
document.write( " A right triangle with a side of 34' and a hypotenuse of 59 would not have an angle of 24 degrees.<BR>\n" );
document.write( "If the angle is 24 degrees, the distance to the tree would have to be about 54'<BR>\n" );
document.write( "You can also check this using pythag: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2854%5E2%2B24%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2854%5E2%2B24%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 59<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the height of the ladder (L)  using the sine of 75 degrees<BR>\n" );
document.write( "sin(75) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FL ALIGN=MIDDLE  ALT=\"24%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F.966 ALIGN=MIDDLE  ALT=\"24%2F.966\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = 24.84 ft  </SPAN>\n" );
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