document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199540>Question 1199540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3) To find the height of a tower, a surveyor positions a measurement device that is 2 m tall at a spot 24 m from the base of the tower. She measures the angle from the top of the measurement device to the top tower to be 45°. What is the height of the tower? Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833469 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=833469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Diagram:<BR>\n" );
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document.write( "Segments:<BR>\n" );
document.write( "AB = CD = 24 meters<BR>\n" );
document.write( "AD = BC = 2 meters<BR>\n" );
document.write( "CE = h = unknown (in meters)\r<BR>\n" );
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document.write( "Angle:<BR>\n" );
document.write( "Angle CDE = 45 degrees\r<BR>\n" );
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document.write( "Triangle CDE is a right triangle. <BR>\n" );
document.write( "Furthermore, it is a 45-45-90 triangle which makes it isosceles. <BR>\n" );
document.write( "The two legs CD and CE are congruent. Both are 24 meters long.<BR>\n" );
document.write( "Therefore, h = 24.\r<BR>\n" );
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document.write( "Alternatively, you can use the tangent function to go from<BR>\n" );
document.write( "tan(45) = h/24<BR>\n" );
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document.write( "h = 24\r<BR>\n" );
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document.write( "tan(45) = 1 when in degree mode.\r<BR>\n" );
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document.write( "The total height of the tower is: BC+CE = 2+24 = <font color=red size=4>26 meters</font>\r<BR>\n" );
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document.write( "Side note: 26 meters = 85.3018 feet approximately.<BR>\n" );
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