document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320589>Question 320589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a car is driven east for a distance of 34km, then north for 18km,then in a direction 30 degrees east of north for 25km. Determine the magnitude of the displacement(in kilometers) of the car from its starting point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229635 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a car is driven east for a distance of 34km, then north for 18km,then in a direction 30 degrees east of north for 25km. Determine the magnitude of the displacement(in kilometers) of the car from its starting point.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Draw a sketch to understand the problem.<BR>\n" );
document.write( "start from A <BR>\n" );
document.write( "A to B east = 34 km <BR>\n" );
document.write( "B to C north = 18 km<BR>\n" );
document.write( "C to D 30 deg north of east 25km<BR>\n" );
document.write( "the horizontal distance traveled from C  will be 25* cos 30 = 21.6 km<BR>\n" );
document.write( "Total distance traveled eastwards = 34+21.6 = 55.6 km<BR>\n" );
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document.write( "Distance traveled north from B to C = 18 km<BR>\n" );
document.write( "distance traveled vertical will 25*sin30=12.5 km<BR>\n" );
document.write( "Vertical distance traveled = 12.5 + 18.5=31<BR>\n" );
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document.write( "The direct distance from start to end is the hypotenuse of a right triangle whose legs are 55.6 km & 31 km<BR>\n" );
document.write( "55.6 ^2 + 31^2 =4052.36<BR>\n" );
document.write( "sqrt 4052.36 is the direct distance from start to the end<BR>\n" );
document.write( "= 63.65 km </SPAN>\n" );
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