![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Draw a diagram for the given data :
\![\"\"](\"/userfiles/52-506-36.gif\")
Use the projection formula for work.
\The magnitude of the projection of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7cd43453a88a8178ee363c065019323f.png\")
onto ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2aed031ace9ecdadfd3337e028ce04e5.png\")
is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b18104f20515881eb753e2e54d83e3eb.png\")
.
The magnitude of the directed distance is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3566846f989ba258b1673a0f046e775c.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=46e3fc9ec061acdfec78dd6e2aa4b1fb.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6ae0617f1b680fbebbb496f6ded9ff94.png\")
.
Therefore, Sophia does about ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a0af07fd84e4045d1b971fdeb5ae7f53.png\")
of work pushing the shopping cart.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Sophia does about ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a0af07fd84e4045d1b971fdeb5ae7f53.png\")
of work pushing the shopping cart.