I wouldn't say it's required, since "use" could be considered as uncountable; but countable is much more common in this context.
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New2grammarRepairing the long eroding coastline isn't a good use of taxpayers' money.Another example of uncountable would be "Repairing the long eroding coastline isn't [an example of [the]] good use of taxpayers' money."
AvangiBTW, I wondered if "long" refers to the length of the coastline, or the period of time during which it's been eroding.Thanks, Avangi. How would you remove the ambiguity? Actually, I wanted to refer to the length.
New2grammar How would you remove the ambiguity? Actually, I wanted to refer to the length.Perhaps, "Reparing the thousands of miles of eroding coastline . . . . "