document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204848>Question 1204848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a point A on level ground, the angle of elevation to the top of a shed is 20° . If a person walked 30.0 m away from point A, from the shed, to point B, the angle of elevation decreases by 12°. Find the height of the shed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841375 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=841375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At a point A on level ground, the angle of elevation to the top of a shed is 20° . If a person walked 30.0 m away from point A, from the shed, to point B, the angle of elevation decreases by 12°. Find the height of the shed.\r<BR>\n" );
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document.write( " the angle of elevation decreases by 12° It becomes 8 deg\r<BR>\n" );
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document.write( "y height of shed<BR>\n" );
document.write( "x distance from shed to point A on ground\r<BR>\n" );
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document.write( "tan 20 = y/x\r<BR>\n" );
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document.write( "tan 8 = y/(x+30)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+20%2Ftan+80+=+%28y%2Fx+%29%2F%28y%2F%28x%2B30%29%29 ALIGN=MIDDLE  ALT=\"tan+20%2Ftan+80+=+%28y%2Fx+%29%2F%28y%2F%28x%2B30%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+20%2Ftan+8+=+%28x%2B30%29%2Fx ALIGN=MIDDLE  ALT=\"tan+20%2Ftan+8+=+%28x%2B30%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "tan 20 *x = tan 8 *(x+30)\r<BR>\n" );
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document.write( "x tan 20 - xtan8  =30 tan 8\r<BR>\n" );
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document.write( "x(tan 20-tan 8)= 30 tan 8\r<BR>\n" );
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document.write( "x = 30* tan 8/ (tan 20-tan 8)  \r<BR>\n" );
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document.write( "tan 20 = y/x\r<BR>\n" );
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document.write( "y= x*tan 20 deg The height of shed\r<BR>\n" );
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document.write( "Use calculator  to evaluate\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=shed_height.png\">.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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