An engineer is required to survey a nonrectangular plot of land but is unable to measure s...

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 Fig. 4.11). The following data are taken: RU = 121.0 m, RS = 116.0 m, ST = 83.5 m, angle RST = 113°, and angle RUT = 82°. Calculate the length of side UT and the area of the plot.

Figure 4.11