Question

Learning Goal: To be able to add and subtract vectors using geometric and vector addition. 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 d1- 21.5 m at 23.5° from the tree then turned and traveled d2- 10.0 m at 02 1320. Meanwhile, the sister traveled d3- 19.0 m at an angle of 83-120° from the tree. The angles are given with respect to east with counterclockwise being defined as positive Figure 1) Figure 〈〉 3013 〉 y Boy Tree Girl

Using the method of vector addition by components, determine the displacement from the boy to the girl.

(Figure 3)

Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis.

Answer 1

The solution is given in the attached image.

The final answers are boxed.