$2\mathrm{.}75$ A horizontal circular plate is suspended as shown from three

wires which are attached to a support at $D$ and form $30$ angles with the

vertical. Knowing that the $x$ component of the force exerted by wire $AD$ on

the plate is $110\mathrm{.}3$ N $,$ determine $($a$)$ the tension in wire $AD,($b$)$ the angles ${}_x,$

${}_y,$ and ${}_z$ that the force exerted at A forms with the coordinate axes.

Fig. P$2\mathrm{.}75,$ P$2\mathrm{.}76,$ P$2\mathrm{.}77,$ and P$2\mathrm{.}78$