Q$1.($See question $17)$

A barge of constant triangular cross section is $54\mathrm{.}86$ m long with a beam of $7\mathrm{.}32$ m $,$ floats in fresh water with a draft of $2\mathrm{.}74$ m $.$ A weight of $15$ tonnes $($already on board$)$ is shifted $3\mathrm{.}0$ m across the deck, and the resulting heel angle is $2\mathrm{.}3$ degrees. Determine KG for the barge:

i$)$ As inclined.

ii$)$ With the weight removed $($if it was $6\mathrm{.}10$ m above the keel$).$