Answer
The weight of the box is 97.1 pounds.
Work Step by Step
The angle of inclination of the ramp with the horizontal is $18{}^\circ $.
On resolving the vector into its horizontal and vertical components, the horizontal component will get cancelled and we get
$\begin{align}
& \sin 18{}^\circ =\frac{30}{x} \\
& x\sin 18{}^\circ =30 \\
& x=\frac{30}{\sin 18{}^\circ } \\
& =97.1\text{ pounds}
\end{align}$
So, the weight of the box is $97.1\text{ pounds}$.
