document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218202>Question 218202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can anyone help me with these question pls....thanks..<BR>\n" );
document.write( "1. From a point due west from the base of the building, the angle of elevation to the top is 65 degrees. At a point 62 meters further, the angle of elevation is 54 degrees. How tall is the building? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164343 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> tan(65) = x/y means x = y*tan(65)<BR>\n" );
document.write( "tan(54) = x/(y+32) means x = (y+32)*tan(54) = y*tan(54) + 32*tan(54)<BR>\n" );
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document.write( "since they both equal to x, then they are equal to each other, so we get:<BR>\n" );
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document.write( "y*tan(65) = y*tan(54) + 32*tan(54)<BR>\n" );
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document.write( "subtract y*tan(54) from both sides of the equation to get:<BR>\n" );
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document.write( "y*tan(65) - y*tan(54) = 32*tan(54)<BR>\n" );
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document.write( "factor out the y on the left hand side of the equation to get:<BR>\n" );
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document.write( "y*(tan(65)-tan(54)) = 32*tan(54)<BR>\n" );
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document.write( "divide both sides of this equation by (tan(65)-tan(54)) to get:<BR>\n" );
document.write( "y = 32*tan(54) / (tan(65)-tan(54))<BR>\n" );
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document.write( "solve for y to get:<BR>\n" );
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document.write( "y = 57.33991401<BR>\n" );
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document.write( "Since x = y*tan(65), substitute for y to get:<BR>\n" );
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document.write( "x = 57.33991401*tan(65) = 122.9658424<BR>\n" );
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document.write( "height of the building is 122.9658424 meters.<BR>\n" );
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document.write( "since y = 57.33991401, then<BR>\n" );
document.write( "(y+32)*tan(54) = x becomes:<BR>\n" );
document.write( "89.33991401*tan(54) = x = 122.9658424 meters once again.<BR>\n" );
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document.write( "height is confirmed to be true because both points yield the same height.<BR>\n" );
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document.write( "your answer is:<BR>\n" );
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document.write( "height of the building is 122.97 meters rounded to the nearest hundredth of a meter.<BR>\n" );
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document.write( "a picture of your problem can be found by clicking on the following hyperlink.<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://theo.x10hosting.com/problems/218202.html\" target = \"_blank\">Problem Number 218202 Picture</a><BR>\n" );
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