document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264485>Question 264485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The two legs of a right triangle have lengths of 15 inches and 8 inches. Find the measure of the smaller acute angle 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 #194716 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=194716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two legs of a right triangle have lengths of 15 inches and 8 inches. Find the measure of the smaller acute angle of the triangle.\r<BR>\n" );
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document.write( "leg A 15 inches, leg B 8 inches, find C hypotenuse<BR>\n" );
document.write( "C^2 = A^2 + B^2 (Pythagorean theorem)<BR>\n" );
document.write( "C^2 = 15^2 + 8^2<BR>\n" );
document.write( "C^2 = 225 + 64 = 289<BR>\n" );
document.write( "C = 17 inches\r<BR>\n" );
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document.write( "sine = opposite/hypotenuse, the smallest acute angle will be the one opposite to the shortest side<BR>\n" );
document.write( "sine = 8/17 = 0.470588 approx. OR approx 28.072487 degrees<BR>\n" );
document.write( "(take inverse sine to find how many degrees the angle is)\r<BR>\n" );
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document.write( "the smaller acute angle is approx 28 degrees<BR>\n" );
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