The problem states that "At 12:00pm the pool is half covered by the shade of a tree" and again later states that "It can be assumed that the shade covers half the pool at 12:30". Is the pool HALF covered by the shade at 12:00 or 12:30? Please clarify.
I agree. We have to differentiate between the weight (non-contact force due to gravitational attraction) and the feeling of weightlessness (contact force from normal reaction). So, while the person will have a weight he will feel weightless similar to when you have a free fall in an amusement park ride.