document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=561907>Question 561907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose we want the measure in degrees of the smallest angle in a 5-12-13 right triangle. The units in the figure aren't the right size to make a picture easy to interpret. Figure out a way to use similar triangles in the figure so you can view this angle in a triangle that fits in the figure's viewing area. Give the number of degrees correct to the nearest tenth of a degree.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364478 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You might have to construct an altitude from the 90 degree angle. This will cut the 5-12-13 triangle into two smaller (similar) triangles.\r<BR>\n" );
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document.write( "The best way to find the smaller angle is to use trig. If theta denotes the smallest angle, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin \theta = \frac{5}{13}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \theta = \sin^{-1}( \frac{5}{13}) \approx 22.6^{\circ}\"> </SPAN>\n" );
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