(Solved): A cart weighing \( 100 \mathrm{lbs} \) is being pushed up an incline that makes an angle of \( 30^ ...

A cart weighing \( 100 \mathrm{lbs} \) is being pushed up an incline that makes an angle of \( 30^{\circ} \) with the horizontal. Find the work done against gravity in pushing the cart a distance of 80 feet. (Hint: gravity produces a force that is completely vertical pointing downward, and in our case here it has a magnitude of 100 .)