ANSWER:
4242.64 lbs*ft
STEP-BY-STEP EXPLANATION:
To better understand we make a sketch of the situation:
Where,
Distance ||PQ|| = 100 ft
Force (F) = 60 lbs
The angle between force and displacement is 45°
Component of force along displacement is F * Cos 45°
The total work is calculated by means of the formula shown in the statement:
[tex]\begin{gathered} W=F\times||PQ||\times\cos45\degree \\ \\ W=60\times100\times\cos45\degree \\ \\ W=4242.64\text{ lbs*ft} \end{gathered}[/tex]
The total work is equal to 4242.64 lbs*ft