Simple problem with lots of calculations (analytic geometry)

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I have this problem. I solved it all by hand.
It is quite straightforward in general.

But the solution has a lot of calculations.
So I just want to verify the answers which I got.

We have four points in Euclidean 3D coordinate space
(given with their orthogonal coordinates).

$A(-1,2,3)$
$B(0,4,4)$
$C(2,0,2)$
$D(-1,3,2)$

$M$ is the midpoint of the segment $AB$

We need to find a) the distance from point D to the plane ABC
b) $\tan \measuredangle ACM$

I get these answers

a) $ 3 / \sqrt{5} $

b) $ 2 / ( 3 \sqrt{5} ) $

I wonder if someone could verify these answers with some software or via some other means.