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Anni [7]
3 years ago
6

HURRYY

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

4.9 estimated but 4.8 non estimated

Step-by-step explanation:

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Step-by-step explanation:

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A fish is reeled in at a rate of 1.9 feet per second from a point 10 feet above the water (see figure). At what rate is the angl
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Answer:

  1.9 degrees per second

Step-by-step explanation:

The angle α the line makes with the water can be described by ...

  Sin = Opposite/Hypotenuse

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Taking derivatives gives ...

  α'·cos(α) = -10(-1.9)/(25 -1.9t)²

Then the rate of change of the angle at t=0 is ...

  α' = 19/(25²·cos(α))

Of course, cos(α) = √(1 -sin(α)²) = √(1 -(10/25)²) = √(21/25), so we have ...

  α' = 19/(125√21) . . . radians/second

  α' ≈ 0.033269 radians/s ≈ 1.90 degrees/s

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