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Hi, I am going to draw a diagram since I think that is the key to solving this problem. Keep in mind that the bearing of $P$ to $Q$ is the measure of the angle from north to the line segment Joining $P$ to $Q$ measured clockwise from north. Hence I am going to first draw a north south line and an east west line and putting $X$ at their intersection. From $X$ draw a line at a bearing of $63^o$ and place $Z$ on that line and label the distance from $X$ to $Y$ as 220 m. From $Z$ draw a line at bearing $156^{o}.$ The point Z is somewhere ion this line, in fact you know it is due east of $x.$ You have enough information now to determine the angle measurements of the interior angles of triangle $XZY.$ Can you now find $|XY|?$ Write back if you need more assistance, Harley |
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |