document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=556833>Question 556833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Leaning Tower of Pisa is 179 ft.high, making a 5.1 degree angle with vertical find b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362253 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=362253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> height of the leaning tower of pisa is 179 feet<BR>\n" );
document.write( "it makes a 5.1 degrees from the vertical.<BR>\n" );
document.write( "it's angle to the ground would be 90 - 5.1 = 84.9 degrees.<BR>\n" );
document.write( "the height of the vertical would be one leg of a right triangle.<BR>\n" );
document.write( "to find the vertical height of the tower, we would take the sine of 84.9 using the formula:<BR>\n" );
document.write( "sine (84.9) = opposite divided by hypotenuse.<BR>\n" );
document.write( "opposite i x<BR>\n" );
document.write( "hypotenuse is 179<BR>\n" );
document.write( "formula becomes:<BR>\n" );
document.write( "sine (84.9) = x/179<BR>\n" );
document.write( "multiply both sides of this equation by 179 to get:<BR>\n" );
document.write( "x = 179 * sine (84.9)<BR>\n" );
document.write( "this results in:<BR>\n" );
document.write( "x = 178.2913507 feet<BR>\n" );
document.write( "that's the vertical height.<BR>\n" );
document.write( "if you worked it the other way, it would be using cosine (5.1).<BR>\n" );
document.write( "since cosine (5.1) equals sine (84.9) you would get the same answer.<BR>\n" );
document.write( "179 * cosine (5.1) = 178.2913507<BR>\n" );
document.write( "the diagram of what i mean is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/jan132.jpg\" alt = \"$$$$\" /><BR>\n" );
document.write( "AB is the leaning tower of pisa.<BR>\n" );
document.write( "AC and DB are the vertical heights (they are equal to each other in length).<BR>\n" );
document.write( "angle ABD is the 5.1 degree angle that the leaning tower of pisa makes with the vertical.<BR>\n" );
document.write( "ABC is the 84. degree angle that the leaning tower of pisa makes with the horizontal which is the ground.<BR>\n" );
document.write( "if you measure x using triangle ABC, then you would take the sine of 84.9 degrees.<BR>\n" );
document.write( "if you measure x using triangle ABD, then you would take the cosine of 5.1.<BR>\n" );
document.write( "ABC and ABD are both right triangles.<BR>\n" );
document.write( "the leaning tower of pisa is the hypotenuse of both these triangles.<BR>\n" );
document.write( " </SPAN>\n" );
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