The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 20° angle with the water. To the nearest foot, how far is the boat from the cliff?
Answers
Answer:
The boat is 192 feet from the cliff.
Explanation:
Hi there!
Please see the attached figure for a graphical description of the problem.
Notice that the line of sight, the distance to the cliff and the height to the top of the lighthouse form a right triangle. Hence, we can apply trigonometric rules to find the distance from the boat to the cliff:
cos 20° = adjacent side / hypotenuse
sin 20° = opposite side / hypotenuse
The length of the opposite side is the height of the cliff plus the height of the lighthouse:
opposite side = 45 feet + 25 feet = 70 feet.
Using the equation of sin 20°, we can obtain the hypotneuse:
sin 20° = opposite side / hypotenuse
hypotenuse · sin 20° = opposite side
hypotenuse = opposite side / sin 20°
hypotenuse = 70 feet / sin 20°
hypotenuse = 205 feet
Now, using the equation of cos 20°, we can calculate the distance to the cliff (the length of the adjacent side):
cos 20° = adjacent side / hypotenuse
hypotenuse · cos 20° = adjacent side
205 feet · cos 20° = adjacent side
adjacent side = 192 feet (without rounding intermediate results)
The boat is 192 feet from the cliff.
Answer:
192 ft.
Explanation:
Tan (20) = Opp/Adj
Tan (20) = (45+25)/x
Tan (20) = 70/x
then x=70/Tan (20)
x= 192.3234 ft, and then rounded to the nearest foot...
x= 192 ft
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Answers
The magnitude of each charge is 3.94 x coulombs.
We have a pair of equal charges are separated by 0.75 m and there's a 2500 N force acting on them.
We have to strength of the charge.
What is the formula to calculate the force between two point charges separated by a some distance?
According to Coulomb's law, the formula to calculate the force between the two point charges (say q and Q) separated by a some distance (say r) is given by -
F =
According to the question -
Force between two point charges equals to = F = 2500 N
Distance between the point charges = 0.75 m
Let's assume the magnitude of each charge be x, therefore using the coulomb's law, we get -
F =
coulombs
Hence, the magnitude of each charge is 3.94 x coulombs.
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Answer:
4.5643546 × 10^ -4
Explanation:
Answers
Contraceptives are items used or taken to prevent conception. These are birth control pill, patch, ring, IUD, birth control shots, and condoms. Among these contraceptives, condoms are the only type of birth control that prevents STIs or Sexually Transmitted Infections.
All contraceptives prevent STIs is False because not all them are used in STI prevention.
What is contraceptives about?
Not all contraceptives prevent sexually transmitted infections (STIs). Only condoms, dental dams, and some internal condoms, such as the female condom, can help prevent the transmission of STIs.
Other forms of contraception, such as birth control pills, the patch, the ring, and the shot, do not protect against STIs. This is because they work by preventing ovulation or by thickening the cervical mucus, which makes it more difficult for spermto reach the egg. They do not prevent the transmission of STIs because they do not block the exchange of bodily fluids, which is how STIs are spread.
So, the answer is false.
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Answers
Answer:
False
Explanation:
Inattentionla blindness is a condition that happens when you overview or do not notice an object that is not supposed to be in a certain place and that is strange for its context because you are paying attention to something else, this means that if you do a task that needs a great deal of attention you will actually increase the inattentional blindness.
The correct answer is F
Answers
Final Answer:
An expansion card is a circuit board that can be attached to the motherboard to add features such as video display and audio capability to the computer.
Explanation:
An expansion card, also known as an add-in card or expansion board, is a hardware component designed to enhance a computer's capabilities by providing additional functionality. These cards can be attached to the motherboard of a computer to add various features or capabilities, including video display and audio processing.
Expansion cards come in various forms and serve different purposes. For example, a graphics card is a type of expansion card that is commonly used to improve a computer's graphics performance. It can handle complex graphical tasks, making it essential for gaming, video editing, and graphic design. Another common type is the sound card, which enhances a computer's audio capabilities, enabling high-quality sound output and input for tasks like music production and gaming.
The process of adding an expansion card involves inserting it into a compatible slot on the motherboard, securing it in place, and installing the necessary drivers and software to ensure proper functionality. Most motherboards have multiple slots to accommodate various types of expansion cards, allowing users to customize their computer's capabilities based on their specific needs.
In summary, expansion cards are crucial components that enable users to expand and upgrade their computer's capabilities, whether it's for gaming, multimedia, or other specialized tasks.
Learn more about An expansion card
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An expansion slot isa socket on the motherboard that is used to insert an expansion card which adds certain features to the computer
Answers
So if you're running @ 5 m/s at a distance of 100m, then it'll take you 20 seconds to get to the car. This is because distance/velocity=time. ••••• Now the Alligator is another story. He has to run 20m+100m and he runs @ 8 m/s. Using the same equation again, d/v= time, you will find that it takes the alligator 15 seconds to get to your car. So if it takes 20 secs for you to get to safety, and 15 secs for the alligator to maul you, if say you would die.
True
False
Answers
The answer to this question would be True