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For the project work points (x,y) shown in the figure the bearing of point R is due West. The coordinate for point R is most nearly:
Solution: Determine the length of the southern leg of the triangle:
6380.78 - 5400.55 = 980.23-ft
Since the bearing of the angular line is N 67? 45' 42" W, the southern angle of the triangle is 67.76º.
Therefore, the dimension form point R to the North line is:
= 980.23 tan 67.76?
= 2,397.20-ft
Then, the x coordinate of R is:
8790.01 – 2397.20 = 6392.82
Coordinate for R in the format of (x, y)
(6392.82, 6380.78)
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