Use the projection formula for work.

Since the force vector that represents Alexa pushing the construction barrel up the ramp is parallel to , does not need to be projected on .

So, .

The magnitude of the directed distance is .

.

Verify the result using the dot product formula for work.

The component form of the force vector in terms of magnitude and direction angle given is .

The component form of the directed distance the barrel is moved in terms of magnitude and direction angle given is .

.

Therefore, the work that Alexa is doing is .

The work that Alexa is doing is .