A rope is run over a tree branch to pull an object weighing $3\mathrm{.}4$ kN up an incline. Given angles $=25$ and $=45,$ the tension in rope segment AB just as the object starts to move is most nearly:

A$.2\mathrm{.}08$ kN

B$.2\mathrm{.}47$ kN

C$.2\mathrm{.}86$ kN

D$.3\mathrm{.}11$ kN

E$.3\mathrm{.}58$ kN

F$.3\mathrm{.}74$ kN

G$.3\mathrm{.}90$ kN

H$.4\mathrm{.}16$ kN

I. $4\mathrm{.}31$ kN

J$.4\mathrm{.}58$ kN

The force, F$,$ needed to keep the crate moving uphill is most nearly:

A$.5\mathrm{.}29$ kN

B$.5\mathrm{.}84$ kN

C$.6\mathrm{.}20$ kN

D$.6\mathrm{.}76$ kN

E$.7\mathrm{.}23$ kN

F$.7\mathrm{.}48$ kN

G$.7\mathrm{.}83$ kN

H$.8\mathrm{.}08$ kN

I. $8\mathrm{.}24$ kN

J$.8\mathrm{.}61$ kN