Let us say the two objects meets at x meters from ground at time t.
For the object that thrown upward;
`uarr S = ut+1/2at^2`
`x = 29.4t-1/2*9.81*t^2` -----(1)
For the object that dropped downward;
`darr S = ut+1/2at^2`
`44-x = 0+1/2*9.81*t^2` -----(2)
`44 = 29.4t`
`t = 1.497S`
`x = 33m`
So the two objects will meet at 33m height from the ground and they will meet after 1.497 seconds after they were thrown/dropped.
The upward throw starts at ground level