document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204008>Question 1204008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a hiker walks 14.7 km at an angle of 305 from east. find the x and y component of this walk. Include the diagram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839990 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an angle of 305 from the east is normally assumed to be counter-clockwise from the east side of the x-axis.\r<BR>\n" );
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document.write( "your angle will therefore be in the 4th quadrant because it is greater than 270 and less than 360.\r<BR>\n" );
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document.write( "the reference angle would be equal to 360 - 305 = 55 degrees.\r<BR>\n" );
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document.write( "the hypotenuse of the triangle formed from that angle would be 14.7 km.\r<BR>\n" );
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document.write( "the x component would be equal to 14.7 * cosine(55) = 8.431573614.\r<BR>\n" );
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document.write( "the y component would be equal to 14.7 * sine(55) = 12.04153505.\r<BR>\n" );
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document.write( "here's a sketch of the angle with the x and y component.\r<BR>\n" );
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document.write( "the x component is going towards the east.<BR>\n" );
document.write( "the y component is going towards the south.\r<BR>\n" );
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document.write( "the coordinates of the terminal point of the line of travel is (8.431573614, -12.04153505)\r<BR>\n" );
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document.write( "that point is 14.7 km from the originating point whose coordinates are (0,0).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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