A park is being considered in a space between a small river and a highway as a rest stop f...

A park is being considered in a space between a small river and a highway as a rest stop for travelers (see Fig. 4.12). Boundary BC is perpendicular to the highway and boundary AD makes an angle of 75° with the highway. BC is measured to be 160.0 m, AD is 270.0 m, and the boundary along the highway is 190.0 m long. What are the length of side AB and the magnitude of angle ABC?

Figure 4.12