There is a third kind of answer that, without competing with the previous two, demonstrates the value of philosophy, even (perhaps, especially) for students like our imagined protagonist: philosophy is the antidote to the uncritical acceptance of the world and ourselves as we are.
I like the phrase "antidote to the uncritical acceptance" quite a lot. At first, you may think that an "uncritical acceptance" isn't necessarily a bad thing. However, thinking about it more, do you really want to just blindly accept the world around you? Looking critically at yourself and the world allows you to make changes and work to improve the lives of yourself and others, among many other things, simply because you dared to question.