A $11m$ gate with a hinge is set to be built on the side of a wall, which supports seawater $($s$.$g$.=1\mathrm{.}025).$ The wall is at a $35$ angle with respect to the horizontal, and the hinge $(H)$ is $5$ meters below the free water surface.

$48.$ What is the force of the fluid acting on the gate?

A$.53,175N$

B$.31,721N$

C$.50,292N$

D$.28,837N$

$49.$ What is the distance the force is acting on from point $O?$

A$.10\mathrm{.}1$ m

B$.9\mathrm{.}23$ m

C$.7\mathrm{.}55$ m

D$.8\mathrm{.}72$ m

$50.$ What is the force needed to open the gate, if this force is located at the $0\mathrm{.}75$ m away

A$.46,794N$

B$.70,900N$

C$.55,624N$

D$.36,160N$

$51.$ What is the force needed to open the gate, if this force is located at the bottom of the gate.

A$.47,543$ N

B$.27,120$ N

C$.50,292$ N

D$.35,096$ N