Answer
The work done is 3392 foot-pounds.
Work Step by Step
Here, the wagon is pulled horizontally such that the angle between the force and direction of motion is $32{}^\circ $.
Now it is known,
$\mathbf{W}=\left\| \mathbf{F} \right\|\left\| \mathbf{AB} \right\|\cos \theta $ …… (1)
As it is given that,
$\left\| \mathbf{F} \right\|=40,\left\| \mathbf{AB} \right\|=100$ and $\theta =32{}^\circ $ …… (2)
Therefore, use (2) in (1).
So,
$\begin{align}
& \mathbf{W}=\left( 40 \right)\left( 100 \right)\cos \left( 32{}^\circ \right) \\
& =\left( 4000 \right)\left( 0.848 \right) \\
& \approx 3392
\end{align}$
