Possible a vile beach needs to be sorted out (10)

I believe the answer is:

achievable

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'possible' is the definition.
('achievable' can be similar in meaning to 'possible')

'a vile beach needs to be sorted out' is the wordplay.
'a vile beach' anagrams to 'ACHIEVABLE'.
But, I am not clear how this is indicated.

Can you help me to learn more?

(Other definitions for achievable that I've seen before include "Able to be accomplished" , "Doable, winnable" , "can be reached" .)

I've seen this clue in The Independent.

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