document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62051>Question 62051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees.  How tall is the lamp post? (In a 30-60-90 right triangle, the side opposite 30 is 1/2 the length of the hypotenuse. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42808 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=42808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The scenario picturizes a right triangle.\r<BR>\n" );
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document.write( "The length of the shadow = base of the triangle = 8 feet.\r<BR>\n" );
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document.write( "angle of inclination = 60 degrees.\r<BR>\n" );
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document.write( "Height of the lamp post = height of the triangle.\r<BR>\n" );
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document.write( "The side opposite to 30 degrees is the base of the triangle = 8ft.\r<BR>\n" );
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document.write( "Given this is half the hypotenuse.\r<BR>\n" );
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document.write( "That is hypotenuse = 2* 8 \r<BR>\n" );
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document.write( "                   = 16 ft.\r<BR>\n" );
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document.write( "By Pythagorean theorem,\r<BR>\n" );
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document.write( "The height = sqrt [(hypo)^2 - (base)^2 ]\r<BR>\n" );
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document.write( "==> ht = sqrt [ 16^2 - 8^2]\r<BR>\n" );
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document.write( "==>    = sqrt [256 - 64]<BR>\n" );
document.write( "==>    = sqrt [ 192 ]\r<BR>\n" );
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document.write( "==>    = sqrt [ 64*3]\r<BR>\n" );
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document.write( "==>    = sqrt [64] * sqrt(3)\r<BR>\n" );
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document.write( "==>    = 8 * 1.732\r<BR>\n" );
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document.write( "==>    = 13.856\r<BR>\n" );
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document.write( "The ht of the lamp post = 13.86 ft.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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