A worker applies a torque to a nut with a wrench $0\mathrm{.}500$ m long. Because of

the cramped space, she must exert a force upward at an angle of $60\mathrm{.}0$ with

respect to a line from the nut through the end of the wrench. If the force

she exerts has magnitude $80\mathrm{.}0$ N$,$ what magnitude torque does she apply to

the nut?