document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116856>Question 1116856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a &#8710;ABC,the foot of the perpendicular from A to BC is D. Given that tan B=4/3,cos C=15/17 and that AB=20cm, calculate without using tables (i) the length of side AC and BC<BR>\n" );
document.write( "       (ii) the value of sin A </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731771 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28B%29+=+4%2F3 ALIGN=MIDDLE  ALT=\"tan%28B%29+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD%2FBD+=+4%2F3 ALIGN=MIDDLE  ALT=\"AD%2FBD+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28C%29+=+15%2F17 ALIGN=MIDDLE  ALT=\"cos%28C%29+=+15%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD%2FAC+=+15%2F17 ALIGN=MIDDLE  ALT=\"CD%2FAC+=+15%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In right triangle ADC, let CD = 15x and AC = 17x; then, using the 8-15-17 Pythagorean Triple, AD = 8x.<br><BR>\n" );
document.write( "With AD = 8x, (1) tells us BD = 6x; then, using the 6-8-10 Pythagorean Triple,  AB = 10x.<br><BR>\n" );
document.write( "We are given that AB=10x is 20cm.  That means AC=17x is 34cm and BC = BD+DC = 6x+15x = 21x is 42 cm.<br><BR>\n" );
document.write( "Answers: AC = 34cm; BC = 42cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );