The horizontal 22.7 m/s doesn't make a bit of difference.
The whole question is: "How long does an object dropped from rest take to fall 44.3 meters ?"
To answer that, all you need is the "drop from rest" equation:
D = (1/2) · (acceleration) · (time)²
You didn't say so, but I'll assume this story all takes place on Earth, where the acceleration of gravity is 9.81 m/s².
42.3 m = (1/2) · (9.81 m/s²) · (time)²
time² = (42.3 m) / (4.91 m/s²)
time² = (42.3/4.91) s²
time = √(42.3/4.91) seconds
time = 2.94 seconds
