A plane flies at a speed 580 km/hr at a constant height of 16 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 125 km away from the observer?

Answers

Answer 1

Answer:

-0.584 rad/hr, rounded to the nearest 1000th  

Step-by-step explanation:

Let D = D(t) = the horizontal distance from the observer to the plane at time t in units of km.  

Let E = E(t) = the angle of elevation at time t in units of Radians.

Then, by geometry,

tan(E) = 16 / D, and furthermore, we have that

tan(E) = 16 * D^(-1)

d/dt (tan(E)) = d/dt ( 16 * D^(-1))

sec^2 (E) * dE/dt = 16(-1)(D^(-2)) * dD/dt

( sqrt(D^2 + 16^2) / D )^2 * dE/dt = -16 (D^(-2)) * dD/dt

(D^2 + 16^2)/D^2  *  dE/dt = -16 (D^(-2)) * dD/dt

dE/dt = -16 (D^(-2)) * dD/dt * D^2 / (D^2 + 16^2)

dE/dt = -16 (dD/dt) / (D^2 + 16^2)

dE/dt = -16 (580 km/hr) / (125^2 + 16^2), at time t such that D(t) = 125 km,

dE/dt = (-9280 / 15881) rad/hr

dE/dt = -0.584 rad/hr, rounded to the nearest 1000th

 


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It should take 6 weeks until the warehouse has less than 100 boxes remaining

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Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of a line with negative slope goes down to the right. The line would still go through the origin. An example is attached.

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Answer:

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Step-by-step explanation:

pls mark me brainliest and i hope this helped :)))

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Question:
w/2 - 6 = -10
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Answers

Solution:

[tex]1. \frac{w}{2} - 6 = - 10 \\ = > \frac{w}{2} = - 10 + 6 \\ = > \frac{w}{2} = - 4 \\ = > w = - 4 \times 2 \\ = > w = - 8[/tex]

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Just trust me

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

197

Step-by-step explanation:

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Answer :
Step by step explanation :
To k this we can set up an equation.
860.89 = x(437)
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Pls mark brainliest if possible and have a nice day!

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  see attached

Step-by-step explanation:

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__

Additional comment

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Step-by-step explanation:

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Answer:

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you are welcome.

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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5

1

i

x=−  

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i

Step-by-step explanation:

(10x)  

2

+4=0

Expande (10x)  

2

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10  

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x  

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x  

2

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Reduzca la fracción  

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25

1

 

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i

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Answer:

#1

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

hello there!

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Answer:

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Step-by-step explanation:

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