Step 1: Understanding the Question:
We need to identify the correct mining term for an access tunnel to a mineral deposit located inside a hill.
Step 2: Detailed Explanation:
Let's define the different types of mine access:
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Shaft: A vertical tunnel from the surface to a deep deposit. Best for flat terrain.
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Incline / Decline: Sloping tunnels. A decline goes down, an incline goes up.
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Adit: A
horizontal or nearly horizontal tunnel driven into the side of a hill or mountain.
This method uses the topography to provide easy, level access for transport and drainage.
Given the "hilly terrain", an adit is the specific term for a horizontal entry into the hillside.
Step 3: Final Answer:
The mode of access to a deposit in a hilly terrain is an adit.
This corresponds to option (C).