The $300-$kg engine block is suspended by the cables AB and AC $.$ The angles $=30$ and $=60.$ The free$-$body diagram obtained by isolating the part of the system within the dashed line is shown. Determine the

forces $T_{AB}$ and $T_{AC}.$

$T_{AC}=565\mathrm{.}8N$ and $T_{AB}=3046\mathrm{.}7N$

$T_{AC}=965\mathrm{.}8N$ and $T_{AB}=2046\mathrm{.}7N$

$T_{AC}=1461\mathrm{.}4N$ and $T_{AB}=2542\mathrm{.}9N$

$T_{AC}=1681\mathrm{.}4N$ and $T_{AB}=1548\mathrm{.}9N$

My answer D $1681\mathrm{.}4$ N and $1548\mathrm{.}9$ was incorrect