Answer:
The work is 371 lb ft
Explanation:
The work can be calculated with yhe scalar product between the force and the displacement:
[tex] W = F.d [/tex]
The scalar product is obtained multiplying component to comoponent and summing the terms:
[tex] W [/tex] = <47, 30> · <13, -8> [lb ft]
[tex] W [/tex] = 47*13 + 30*(-8) [lb ft]
Finally:
W = 371 [lb ft]