document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192810>Question 1192810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``PROBLEM SOLVING. Analyze. Solve. Answer.<BR>\n" );
document.write( "Draw diagrams wherever necessary. Round off your final answers up to 2 decimal places.\r<BR>\n" );
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document.write( "-Sara and Junya made a string telephone and tested if it works. Sara stood at the top of a tower while Junya stayed at the ground level. From Sara’s viewpoint, the angle of depression of Junya is 64° with the horizontal. Junya is 10.5 m from the base of the tower. How long is the string of their improvised telephone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824718 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52858)</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=824718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Sara and Junya made a string telephone and tested if it works. <BR>\n" );
document.write( "Sara stood at the top of a tower while Junya stayed at the ground level. <BR>\n" );
document.write( "From Sara’s viewpoint, the angle of depression of Junya is 64° with the horizontal. <BR>\n" );
document.write( "Junya is 10.5 m from the base of the tower. How long is the string of their improvised telephone?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @josgaritmetic is &nbsp;FATALLY &nbsp;WRONG &nbsp;and &nbsp;CONCEPTUALLY &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring you a correct solution.\r<BR>\n" );
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document.write( "Make a sketch.\r\n" );
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document.write( "Let x be the length of the string, in meters (the value under the problem's question).\r\n" );
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document.write( "Your sketch represents right angled triangle with the hypotenuse of x meters long.\r\n" );
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document.write( "Horizontal leg is 10.5 meters, and the angle beteen this leg and the hypotenuse \r\n" );
document.write( "(the adjacent leg) is 64°.\r\n" );
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document.write( "So you write\r\n" );
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document.write( "    x*cos(64°) = 10.5.\r\n" );
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document.write( "From this equation find x\r\n" );
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document.write( "    x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.5%2Fcos%2864%5Eo%29 ALIGN=MIDDLE  ALT=\"10.5%2Fcos%2864%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.5%2F0.438371 ALIGN=MIDDLE  ALT=\"10.5%2F0.438371\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 23.95231436 meters.\r\n" );
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document.write( "We round this value to 2 decimal places to a bit greater value and get the answer  23.96 meters.\r\n" );
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document.write( "<U>ANSWER</U>.  The length of the string is 23.96 meters, approximately.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "For the safety of your mind, ignore the post by josgarithmetic.\r<BR>\n" );
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document.write( "Keep in mind that 80% or 90% of his \"solutions\" at this forum are incorrect.\r<BR>\n" );
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document.write( "After seeing my post, @josgarithmetic tried to make corrections in his post,\r<BR>\n" );
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document.write( "but his updated post is still incorrect, since he uses INCORRECT angle of 26 degrees instead of correct \r<BR>\n" );
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document.write( "depression = elevation angle of 64 degrees.\r<BR>\n" );
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document.write( "This person simply does not know elementary Math and is absolutely careless about his writing (is not able to write correctly).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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