The board is used to hold the end of a four-way lug wrench in position. If a torque of $30 \mathrm{N} \cdot \mathrm{m}$ about the $x$ axis is required to tighten the nut, determine the required magnitude of the force $\mathbf{F}$ that the man's foot must apply on the end of the wrench in order to turn it. Force $\mathbf{F}$ lies in a vertical plane.