In an over-fished area, the catch of a certain fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to
reach half the amount before the decline?

9514 1404 393

  0.02

Step-by-step explanation:

We assume your angle is in degrees:

  3cot(30°)/230 = 3√3/230 ≈ 0.02259

  ≈ 0.02 . . . . . rounded to 2 decimal places

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This is a straightforward calculator problem. You may have to use one or another of the identities ...

  cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)