How can I solve Equations to complicated for Solve containing Tan[x]?

Questions
1

Hi everyone,
I have been working myself through pages of documentation to find out the functions and possibilities Mathematica offers.
Nevertheless I am not able to solve following problem on my own:

inv[alpha_] := Tan[alpha] - alpha;
InvAlph=0.0149044;
Solve[InvAlph == inv[Alpha], Alpha]

I suppose Solve is not the right function to solve this equation, due to infinite solutions, but I have not discovered the appropriate function jet.
If anybody has any advice, I will appreciate it a lot!
Thanks in advance
David

2

In[13]:= inv[alpha_] := Tan[alpha] - alpha;
InvAlph = 0.0149044;
FindRoot[InvAlph == inv[alpha], {alpha, 1}]

Out[15]= {alpha -> 0.349066}
3

That is exactly what I was looking for.
Thank you very much!