document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420154>Question 420154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from a point 50 feet in front ofrom a point 50 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35 degrees adn 47 degrees respectively. find the height of the steeple.f a church, the angles of elevation to the base of the steeple and the top of the steeple are 35 degrees and 47 degrees respectively. find the height of the steeple. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293676 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=293676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you know the angle and you know the length of the adjacent side.\r<BR>\n" );
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document.write( "you can find the length of the opposite side by using the tangent formula.\r<BR>\n" );
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document.write( "let A be the point 50 feet from the side of the church.\r<BR>\n" );
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document.write( "let B be the point at the base of the church.\r<BR>\n" );
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document.write( "let C be the point at the base of the steeple.\r<BR>\n" );
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document.write( "let D be the point at the top of the steeple.\r<BR>\n" );
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document.write( "the 35 degree angle forms the triangle ABC which takes you from the base of the church to the base of the steeple.\r<BR>\n" );
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document.write( "the 47 degree angle forms the triangle ABD which takes you from the base of the church to the top of the steeple.\r<BR>\n" );
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document.write( "tangent of 35 degrees equals BC / AB\r<BR>\n" );
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document.write( "tangent of 47 degrees equals BD / AB\r<BR>\n" );
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document.write( "AB = 50, so the equations become:\r<BR>\n" );
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document.write( "tangent of 35 degrees equals BC / 50\r<BR>\n" );
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document.write( "tangent of 47 degrees equals BD / 50\r<BR>\n" );
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document.write( "multiply both sides of each equation by 50 to get:\r<BR>\n" );
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document.write( "tangent of 35 degrees times 50 equals BC\r<BR>\n" );
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document.write( "tangent of 47 degrees times 50 equals BD.\r<BR>\n" );
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document.write( "use your calculator to find the tangenst to get:\r<BR>\n" );
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document.write( ".700207538 * 50 = BC.\r<BR>\n" );
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document.write( "1.07236871 * 50 = BD.\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "35.01037691 = BC\r<BR>\n" );
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document.write( "53.6184355 = BD\r<BR>\n" );
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document.write( "the height of the steeple is equal to BD minus BC which equals 53.6184355 - 35.01037691 which equals 18.60805859 feet.\r<BR>\n" );
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document.write( "the height of the steeple is equal to 18.6 feet rounded to the nearest 10th of a foot.\r<BR>\n" );
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document.write( "a picture of the triangles created is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/problems/420154.jpg\" alt = \"***** picture not found *****\" / >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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