Chapter 3 - Vectors in Physics - Problems and Conceptual Exercises - Page 76: 8

(a) $r_x=61~m$ $r_y=43~m$ (b) $r_x=32~m$ $r_y=68~m$

(a) $r_x=r~cos~\theta=(75~m)(cos~35.0°)=61~m$ $r_y=r~cos~\theta=(75~m)(sin~35.0°)=43~m$ (b) $r_x=r~cos~\theta=(75~m)(cos~65.0°)=32~m$ $r_y=r~cos~\theta=(75~m)(sin~65.0°)=68~m$