We report the measurement of beam-target double-spin asymmetries
($A_\text{LT}$) in the inclusive production of identified hadrons,
$\vec{e}~$+$~^3\text{He}^{\uparrow}\rightarrow h+X$, using a longitudinally
polarized 5.9 GeV electron beam and a transversely polarized $^3\rm{He}$
target. Hadrons ($\pi^{\pm}$, $K^{\pm}$ and proton) were detected at
16$^{\circ}$ with an average momentum $<$$P_h$$>$=2.35 GeV/c and a transverse
momentum ($p_{T}$) coverage from 0.60 to 0.68 GeV/c. Asymmetries from the
$^3\text{He}$ target were observed to be non-zero for $\pi^{\pm}$ production
when the target was polarized transversely in the horizontal plane. The
$\pi^{+}$ and $\pi^{-}$ asymmetries have opposite signs, analogous to the
behavior of $A_\text{LT}$ in semi-inclusive deep-inelastic scattering.
