If it takes a force F to pull the nail out, determine the smallest vertical force P

Question:

If it takes a force F to pull the nail out, determine the smallest vertical force P that must be applied to the handle of the crowbar. Hint: This requires the moment of F about point A to be equal to the moment of P about A. Why?

Given:
F = 125 lb
a = 14 in
b = 3 in
c = 1.5 in
θ1 = 20 deg
θ2 = 60 deg