document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915892>Question 915892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the base of an isosceles triangle to its altitude is 3:4. Find the measures of the angles of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555806 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=555806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of the base of an isosceles triangle to its altitude is 3:4. Find the measures of the angles of the triangle.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "You have two right triangles::<BR>\n" );
document.write( "base = 3x/2 = (3/2)x<BR>\n" );
document.write( "alt = 4x<BR>\n" );
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document.write( "Let \"t\" be one of the base angles::<BR>\n" );
document.write( "tan(t) = opp/adj = 4x/((3/2)x)) = 4/(3/2) = 8/3<BR>\n" );
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document.write( "t = arctan(8/3) = 69.44 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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