document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192854>Question 1192854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In video games, images are drawn on the screen using x,y-coordinates. The origin, (0, 0), is in the lower-left corner of the screen. An image of an animated character moves from its position at (8, 5) through a distance of 12 units along a line at an angle of 25 to the horizontal. What are the new coordinates?\r<BR>\n" );
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document.write( "I found one side and used the law of cosines to get 5.31 for the x coordinate, but I am not sure how to get the y coordinate. The sides I have are 9.43, 12, and 5.31. </SPAN>\n" );
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document.write( "I don't know what you did to \"find one side\"; and I don't know how the law of cosines would be used in solving this problem....<br><BR>\n" );
document.write( "The displacement from the starting point (8,5) is 12 units in a direction 25 degrees above the horizontal.  The displacements in the x and y directions are 12*cos(25) and 12*sin(25), respectively.  The new coordinates are<br><BR>\n" );
document.write( "x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B12%2Acos%2825%29 ALIGN=MIDDLE  ALT=\"8%2B12%2Acos%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18.88 to 2 decimal places<BR>\n" );
document.write( "y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B12%2Asin%2825%29 ALIGN=MIDDLE  ALT=\"5%2B12%2Asin%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8.07 to 2 decimal places<br><BR>\n" );
document.write( "ANSWER (to 2 decimal places): (18.88, 8.07)<br><BR>\n" );
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