document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122873>Question 1122873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person standing on the bank of a river observers that the angle of elevation of the top of a tree on opposite bank is 60° . When he was 40m away from the bank, he finds that the able of elevation to be 30° . Let CD is the tree , BC is the river and the observer is standing at A.\r<BR>\n" );
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document.write( "a) Illustrate the diagram represent the information given.\r<BR>\n" );
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document.write( "b) Find the height of the tree, h and the width of the river, x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739065 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=739065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person standing on the bank of a river observers that the angle of elevation of the top of a tree on opposite bank is 60° .<BR>\n" );
document.write( " When he was 40m away from the bank, he finds that the angle of elevation to be 30° .<BR>\n" );
document.write( " Let CD = the tree , BC is the river and the observer is standing at A. <BR>\n" );
document.write( "a) Illustrate the diagram represent the information given. <BR>\n" );
document.write( "b) Find the height of the tree, h and the width of the river, x <BR>\n" );
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document.write( "C-----x-------\B---40-----\A<BR>\n" );
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document.write( "AC = (x+40)<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( "tan(30) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F%28%28x%2B40%29%29 ALIGN=MIDDLE  ALT=\"h%2F%28%28x%2B40%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = tan(30)(x+40)<BR>\n" );
document.write( "and at B<BR>\n" );
document.write( "tan(60) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Fx ALIGN=MIDDLE  ALT=\"h%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan(60)(x) = h<BR>\n" );
document.write( "h=h therfore<BR>\n" );
document.write( "tan(60)x = tan(30)(x+40)<BR>\n" );
document.write( "1.732x = .577(x+40)<BR>\n" );
document.write( "1.732x = .577x + 23.094<BR>\n" );
document.write( "1.732x - .577x = 23.094<BR>\n" );
document.write( "1.155x = 23.094<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23.094%2F1.155 ALIGN=MIDDLE  ALT=\"23.094%2F1.155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x ~ 20 meters is the width of the river<BR>\n" );
document.write( "Find h<BR>\n" );
document.write( "Observer at A is 60 m from the base of the tree<BR>\n" );
document.write( "tan(30) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F60 ALIGN=MIDDLE  ALT=\"h%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = tan(30) * 60<BR>\n" );
document.write( "h = 34.64 m is the height of the tree<BR>\n" );
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