A boat is being pulled to a dock by a rope attached to a winch that is located on the dock, 8 feet above the water. If the winch is pulling the rope in at a rate of -1.5 ft./sec, what is the rate of the boat when it is 6 feet away from the dock? rope 8 ft. ? ft./sec ​

Answers

Answer 1

Answer:

3.1 ft/sec

Explanation:

we are talking about a right-angled triangle.

the Hypotenuse c is the line (rope) connecting the boat and the winch.

the side a is the height of the winch (8 ft straight up from the water level).

the side b is the distance of the boat to the dock on the surface of the water. 6ft.

c² = 8² + 6² = 100

c = 10 ft

when pulling in 1.5 ft of the rope, I create a new triangle, where side a is still the same, the new side c is 1.5 ft shorter than the original one, and we need to calculate the new side b based on that.

the difference of original b and new b is then the distance per second (= the rate) of the boat being pulled at that point.

so,

(10-1.5)² = 8² + b²

8.5² = 64 + b²

72.25 = 64 + b²

8.25 = b²

b = 2.9 ft

original b - new b = 6 - 2.9 = 3.1 ft

=> the boat's rate is 3.1ft/sec


Related Questions

A low-interest loan for students who demonstrate financial need is a(n):

A. Indirect Unsubsidized Loan.

B. Direct Unsubsidized loan.

C. Federal Pell Loan.

D. Direct Subsidized Loan.


People say its D. Direct Subsidized Loan. but I took the test and didn't get it right.

What do u guys think the answer is?

Answers

Answer:

B. Direct Unsubsidized loan.

Explanation:

Direct subsidized and unsubsidized loans are two of the four main types of loans available for students. Though subsidized loans are the best thing for students to get in terms of financial aid, there's a difference between the two in terms of their availability.

While the direct subsidized loan is available for students who need financial help, the direct unsubsidized loan is available for any student who does not demonstrate financial need. This means that this student loan is available even for those who do not show any financial strain or need.

Thus, the low-interest loan for students who do not demonstrate financial need is option B.

Answer:

B. Direct Unsubsidized Loan.

Explanation:

its right

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Answers

Answer:

Explanation:

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Answers

Answer: D. To determine appropriate course placement for students wishing to enroll in college

Answer:

D. To determine appropriate course placement for students wishing to enroll in college

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Answers

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Answers

Answer:

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i know thi

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Answers

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b.Does not promote development of sports

c .Organize competition and events

d. Arrange training and coaching


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Answers

Answer:

b

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Answers

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Answers

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Answers

[tex]{\blue{OII}}[/tex]

[tex]{\green{ TUDO}}[/tex] [tex]{\pink{BEM ?}}[/tex]

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[tex]{\purple{TCHAU }}[/tex]

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