document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036188>Question 1036188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find Height of the statue of liberty's body.<IMG STYLE=\"max-width:80%;\" SRC=\"http://image.prntscr.com/image/9577697fe4f0457a840b670bd278a1d9.jpg\" ALT=\"some text\" WIDTH=700 HEIGHT=500> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650827 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "First you have to annotate the triangles.<BR>\n" );
document.write( "The main one, the base of which is to the <BR>\n" );
document.write( "base of the statue. The upright is equal to 305 ft.<BR>\n" );
document.write( "The hypotenuse is from the boat to the head of the<BR>\n" );
document.write( "statue.<BR>\n" );
document.write( "We will call this triangle ABC<BR>\n" );
document.write( "A is at the boat, B is at the base of the statue and<BR>\n" );
document.write( "C is at the head of the statue.<BR>\n" );
document.write( "As Angle C = 60 degrees, then Angle B is = 90 degrees<BR>\n" );
document.write( "and Angle C = 180 - (90 + 60) = 30 degrees.<BR>\n" );
document.write( "Using Pythagoras, we can calculate the hypotenuse(AC)<BR>\n" );
document.write( "Sin(60) = CB/AC<BR>\n" );
document.write( "Sin(60) = 305/AC<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "Sin(60) AC = 305<BR>\n" );
document.write( "AC = 305/Sin(60)<BR>\n" );
document.write( "AC = 352.2 feet (1 decimal place)<BR>\n" );
document.write( "Now we consider the top triangle.<BR>\n" );
document.write( "this we will call ADC. D being at the statue's<BR>\n" );
document.write( "feet. DC = 'h'<BR>\n" );
document.write( ".............<BR>\n" );
document.write( "Considering triangle ADC.<BR>\n" );
document.write( "Now Angle A = (60 - 41.2) = 18.8 degrees<BR>\n" );
document.write( "Angle C = 30 degrees<BR>\n" );
document.write( "So, Angle D = 180 - (30 + 18.8) = 131.2 degrees.<BR>\n" );
document.write( "We now use Sine Rule:<BR>\n" );
document.write( "namely a/SinA = c/SinC = d/SinD (For this triangle)<BR>\n" );
document.write( "Using a/SinA = d/SinD<BR>\n" );
document.write( "a/Sin(18.8) = 305.2/Sin(131.2)<BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "a x sin(131.2) = 305.2 x sin(18.8)<BR>\n" );
document.write( "a = (305.2 x sin(18.8))/sin(131.2)<BR>\n" );
document.write( "a = 130.7 feet (1 decimal place)<BR>\n" );
document.write( "This is the height of 'h' <BR>\n" );
document.write( "the statue's height.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );