An engineer is required to survey a nonrectangular plot of land but is unable to measure side UT directly due to a water obstruction (see Figure 4.11). The following data are taken: RU = 130.0 m, RS = 120.0 m, ST = 90.0 m, angle RST = 115°, and angle RUT = 100°. Calculate the length of side UT and the area of the plot.
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