A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled at from the tree then turned and traveled at . Meanwhile, the sister traveled at an angle of from the tree. The angles are given with respect to east with counterclockwise being defined as positive Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.