the projection of vector AB on force F is:
Proy = lABlcos (theta)
We have then:
lABl = root ((5) ^ 2 + (2) ^ 2)
lABl = root (25 + 4)
lABl = root (29)
Substituting:
Proy = root (29) * cos (30)
Proy = root (29) * (root (3) / 2)
Then, the work carried out will be:
W = F * d
W = 180 * (root (29) * (root (3) / 2))
W = 839
Answer:
W = 839
option A