document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466177>Question 466177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of x.<BR>\n" );
document.write( "A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319507 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=319507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of x.<BR>\n" );
document.write( "A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "side opposite 30 degree angle = x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "therefore hypotenuse = y = 2x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Pythagoras:<BR>\n" );
document.write( "x^2 + (2x)^2 = (5sqrt(3))^2<BR>\n" );
document.write( "x^2 + 4x^2 = 75<BR>\n" );
document.write( "5x^2 = 75<BR>\n" );
document.write( "x^2 = 15<BR>\n" );
document.write( "--<BR>\n" );
document.write( "x = sqrt(15)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );