(Solved): A rectangular gate having a width of 4ft is located in the sloping side of a tank as shown in the ...

A rectangular gate having a width of $$4\mathrm{ft}$$ is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force $$P$$. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of $$P$$.