1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ryzh [129]
3 years ago
6

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 ​
Advanced Placement (AP)
1 answer:
noname [10]3 years ago
3 0

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

You might be interested in
Please answer seriously and stop giving me file links, thank you.
AlexFokin [52]

Answer: After Germany annexed Austria in March 1938 and particularly after the Kristallnacht pogroms of November 9–10, 1938, nations in western Europe and the Americas feared an influx of refugees.

Explanation:

7 0
2 years ago
Read 2 more answers
After earning a learner’s license, what test must be successfully passed to earn an operator’s license?
Nookie1986 [14]
A Driver's Test, if you're referring to automobiles. 
5 0
3 years ago
How does homeostasis relate to normal body function?
alex41 [277]
Homeostasis is literally maintaining normal body function. For example, sweating because you are hot, to maintain the right body temperature(which is a body function)c is maintaining homeostasis.
6 0
2 years ago
Read 2 more answers
A question of fact would be:
lidiya [134]

Answer:

  A) does overeating cause obesity?

Explanation:

Terms in all of these questions often have fuzzy definitions, so it is often a matter of judgment whether a particular condition is or is not included in the discussion.

The question most likely to be considered a question of fact is ...

  A) does overeating cause obesity?

__

"Overeating" and "obesity" can be objectively defined, even if the causal relationship is less easy to establish.

"Beautiful" is usually a matter of opinion, and cannot be considered a matter of fact.

"Equal opportunities" is exceptionally difficult to define considering the range of personalities and abilities that may be offered a given opportunity. This is another term that is more a matter of opinion than of fact. Whether something "should" or "should not" be provided is, likewise, a matter of opinion (or personal philosophy or religion).

"Bad habit" is another descriptor that is difficult to say is a matter of fact. Whether something is "good" or "bad" depends on the goal, and the effect of procrastination depends on the circumstances.

6 0
3 years ago
Which of the following statements about influences on personal health is true?
podryga [215]
B may be the answer.hope it helps you
6 0
2 years ago
Read 2 more answers
Other questions:
  • You should be prepared for a train to appear at a railroad crossing __________.
    13·2 answers
  • Interactive sites where users write about personal topics and comment to a threaded dissuasion are called
    15·1 answer
  • 1. Who was Maj. Gen. Qassim Suleimani?
    12·2 answers
  • Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36}quartile38.5median11
    7·2 answers
  • If a cyclist travels t an average rate of 24 miles per day how many days will.It take the cyclist to travel 600 miles
    14·2 answers
  • What are 3 examples of emigration and immigration?
    12·1 answer
  • I'm posting the answer, not question!
    6·2 answers
  • Rút tiền ngân hàng về nhập quỹ tiền mặt 80.000
    14·1 answer
  • 3. Discuss the economic growth of China during the Tang era. How did the process of "import substitution" affect the growth of t
    11·1 answer
  • The crude growth rate, r, of a population is calculated by
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!