Using trigonometry and the tan function, we calculate that the distance from the tip of Adam's shadow to the top of his head is approximately 76.22 inches.
Explanation:To determine the distance from the tip of Adam's shadow to the top of his head, we use trigonometry involving right-angled triangles. Specifically, we can utilize the tan function which is defined as the opposite side over the adjacent side in a right-angled triangle. Given that the angle of elevation is 60° and Adam's height is 5'6" (which is 66 inches), we can set up our equation based on the tan function.
The tan of 60° equals the height of Adam (opposite side) divided by the length of the shadow (adjacent side). As tan(60°) = √3, and the height of Adam is 66 inches, we get √3 = 66 / length of shadow. Solving for the length of shadow, we find it equals 66 / √3 inches. To find the distance from the tip of the shadow to the top of Adam's head, which is the hypotenuse in this scenario, we use the Pythagorean theorem or recognize the special 30-60-90 triangle ratio.
In a 30-60-90 triangle, the hypotenuse is twice the length of the shorter side (which here is the shadow's length). After calculating, we find the length of the shadow to be approximately 38.11 inches, making the hypotenuse (distance from the tip of the shadow to Adam's head) approximately 2 x 38.11 = 76.22 inches.
The distance from the tip of Adam's shadow to the top of his head is approximately 3.18 feet.
To solve this problem, we can use trigonometry and the concept of similar triangles.
First, let's define the variables:
- Let (h) be the height of Adam (from the ground to the top of his head).
- Let [tex]\( d \)[/tex] be the distance from the tip of Adam's shadow to the top of his head.
- Let[tex]\( \theta \)[/tex] be the angle of elevation from the tip of the shadow to the sun (given as [tex]\( 60^\circ \)[/tex]).
Now, we can set up a proportion using the tangent function:
[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]
Given that [tex]\( \theta = 60^\circ \)[/tex], we have:
[tex]\[ \tan(60^\circ) = \frac{h}{d} \][/tex]
[tex]\[ \sqrt{3} = \frac{h}{d} \][/tex]
Now, we need to find the length of Adam's shadow. Since Adam is 5'6" tall, and his shadow is formed by the sun's rays, which are nearly parallel, the length of his shadow is directly proportional to his height. Thus, if Adam is 5'6" tall, his shadow will also be 5'6" long.
Using the proportion [tex]\( \frac{h}{d} = \sqrt{3} \)[/tex], and substituting [tex]\( h = 5.5 \)[/tex]feet (since 5'6" is 5.5 feet), we can solve for ( d ):
[tex]\[ d = \frac{h}{\sqrt{3}} = \frac{5.5}{\sqrt{3}} \approx 3.18 \text{ feet} \][/tex]
So, the distance from the tip of Adam's shadow to the top of his head is approximately 3.18 feet.
The complete ques is :
Adam, who is 5'6" tall, notices his shadow on the sidewalk. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the distance from the tip of the shadow to the top of his head? (round to 2 decimal places)
What are the pampas? Where are they located?
Eurasia is an area between _____.
A-Europe and Africa
B-Asia and Australia
C-Asia and Africa
D-Europe and Asia
The correct answer is - D. Europe and Asia.
Eurasia is the geographic term used for Europe and Asia. This is because the two continents, are actually, by geographic terms, not two separate continents, but represent one whole because both of them lie on the same tectonic plate, the Eurasian tectonic plate. It is the only continent in the world that is divided because of political, cultural, religious, and racial reasons.
is london east of paris
A synonym for a word may be included as a keyword.
true or false
Keywords are the significant words or phrases that define the topic of an essay question. A synonym on the other hand is a word or phrase that means exactly or nearly the same as another word or phrase
The statement that a synonym for a word may be included as a keyword is true, because using synonyms will get you a more complete set of search results.
When pangea broke into two land masses what did they name the two?
2. The five boxes below represent a geologic cross-cut with five layers (A is on top and E is on the bottom). The types of rocks are listed on the right side. In each box, write the appropriate type of rock and explain the answer in relation to the history of the earth’s atmosphere.
Answer:
A Limestone layers
B Banded-iron formations
C Metamorphic rocks with fine grains
D Red beds
E Chert layers
The geologic crosscut with five layers represents different types of rocks formed under different atmospheric conditions. The limestone layers indicate a time of abundant marine life, the banded-iron formations suggest an oxygen-poor atmosphere, the metamorphic rocks indicate geologic activity, the red beds suggest the presence of oxygen, and the chert layers suggest unique atmospheric conditions.
Explanation:A: Limestone layers - Limestone is formed from the accumulation of marine organisms such as shells and coral. The presence of limestone indicates that this layer was once underwater, suggesting a period of marine deposition. This is relevant to the history of the earth’s atmosphere because it signifies a time when the atmosphere contained enough carbon dioxide to support the growth of marine life.B: Banded-iron formations - Banded-iron formations are sedimentary rocks that contain alternating layers of iron-rich minerals and silica. These formations are evidence of the Earth's early oceans and the iron-rich waters that existed at that time. The presence of banded-iron formations suggests that there was little to no free oxygen in the Earth's atmosphere during the deposition of these rocks.C: Metamorphic rocks with fine grains - Metamorphic rocks are formed from the transformation of existing rocks under intense heat and pressure. The presence of fine-grained metamorphic rocks suggests that they were subjected to high temperatures and pressures. This could be a result of tectonic activity, such as mountain-building events, which is relevant to the history of the earth's atmosphere because it indicates periods of geologic activity and the release of gases into the atmosphere.D: Red beds - Red beds are sedimentary rocks that contain a high concentration of iron oxide, giving them a reddish color. The presence of red beds suggests that the atmosphere had oxygen during the deposition of these rocks. The iron in the sediments oxidized in the presence of oxygen, causing them to turn red.E: Chert layers - Chert is a sedimentary rock composed of microcrystalline quartz. The presence of chert layers indicates that these deposits were formed in environments with a high silica content, such as deep ocean basins or hot springs. This is relevant to the history of the earth's atmosphere because it suggests the existence of specific environments with unique atmospheric conditions during the deposition of chert.Learn more about geologic cross-cut here:https://brainly.com/question/32797068
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The geologic cross-cut represents different types of rocks and their relation to the history of the Earth's atmosphere.
Explanation:A: Limestone layers
B: Banded-iron formations
C: Metamorphic rocks with fine grains
D: Red beds
E: Chert layers
The presence of limestone layers in box A suggests that these rocks formed in a marine environment when the Earth's atmosphere had a higher concentration of carbon dioxide. Banded-iron formations in box B indicate the presence of a significant amount of dissolved iron in the oceans. Metamorphic rocks in box C formed as a result of intense heat and pressure, indicating that the Earth's atmosphere was undergoing tectonic activity. Red beds in box D suggest the presence of oxidized iron in terrestrial environments. Chert layers in box E indicate a deposition of silica-rich sediment, possibly in a shallow marine environment.
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i think D or B, Which one, UPVOTER
An earthquake is the shaking and trembling that results from the movement of rock beneath Earth's surface. Earthquakes most commonly occur near tectonic plate boundaries.
Why is this most likely the case?
A.
Seismic waves transmit through different media at different speeds. Subduction zones at plate boundaries are ideal for transmission of these waves.
B.
Many plate boundaries are bordered or covered by the ocean. Water from the ocean seeps into earthquake fault lines, softening the rock materials so that they can move and cause earthquakes.
C.
Earthquakes can only happen near volcanic eruptions, and most volcanoes occur on or near plate boundaries.
D.
Tectonic plates move along, against, or away from each other at their boundaries. These movements produce earthquakes.
In the rock cycle, what type of rock is formed by heat and pressure?
What is the name of the volcano in costa rica where one can see spectacular eruptions, especially at night?
The Great Continental Divide can be found in:
North America
Europe
Africa
South America
Asia
The Great Continental Divide, a major hydrological divide determining the direction of river flow, is located in North America.
Explanation:The Great Continental Divide, also known as the Continental Divide of the Americas, is a geographical feature that can be found in North America. This major hydrological divide runs from the western coast of Alaska, down the length of the Rockies, and reaches into Mexico. Its primary significance is determining the direction of river flow in the continent. Water on the west side of the divide flows toward the Pacific Ocean, while on the east side it flows toward the Atlantic.
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Belize shares borders with Mexico?
A.True
B.False
Why Igneous materials found along oceanic ridges contain magnetic iron particles that show reversal of magnetic orientation. This is evidence that
Igneous materials in oceanic ridges contain magnetic iron particles oriented according to the Earth's magnetic field. The varied orientations provide evidence of geomagnetic reversals and the processes of thermal remanent magnetization and seafloor spreading.
Explanation:The presence of magnetically aligned iron particles in igneous rocks found along ocean ridges is due to the Earth's magnetic field. This is evidence that the Earth's magnetic field has reversed its polarity multiple times throughout history - a phenomenon known as geomagnetic reversals. When these rocks form from cooling magma, they take on the current orientation of the Earth's magnetic field. Over time, as new rock forms and the Earth's magnetic field changes, a record of these changes is 'frozen' into the rocks in a process called thermal remanent magnetization. This process provides strong evidence for the theory of plate tectonics and seafloor spreading.
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Lakes and oceans are able to stabilize air and land temperatures because:
water is able to absorb large amounts of heat without significantly changing its temperature.
the water is able to release large amounts of heat into the air when necessary.
the salt in the water bodies is able to absorb large amounts of heat.
the temperature of water changes significantly instead of the temperature of the air and land.
Answer:
The most diverse climatic phenomena are directly associated with temperature variations of the waters of oceans and lakes. In addition, they are important for heat distribution through marine currents and atmospheric circulation, which occurs mainly with moisture generated by water evaporation.
Most of the solar radiation absorbed by the oceans is released into the water vapor atmosphere, which turns into moisture. This moisture, in turn, turns into clouds that precipitate, giving rise to rainfall.
Approximately what per cent does Central America contribute to the total amount of carbon dioxide produced in the world
What is Cotopaxi? Where is it located?
What is the slope of the hillside if the contour lines are spread out?
The topography of Central America varies with what kind of land forms in the Highlands?
A) flat plateaus
B )tropical snow inlets
C) volcanic mountains
D) grasslands
Answer:
A) flat plateaus
Explanation:
Plateaus are relief forms that have more or less flat surfaces and are usually bumpy and irregular. On its edges commonly appear flat top elevations, like saws. This type of relief is above 300 meters of sea level and can reach over 2000 meters in altitude.
We can classify the plateaus into three types:
Plateaus formed by sedimentary rocks;Plateaus formed from a rock of volcanic origin (basaltic);Plateaus formed by rocks of metamorphic and magmatic origin (crystalline).Privatization of water use has resulted in _____. fee collection for water use government-owned water services water pollution reforestation
The correct answer is - fee collection.
The privatization of the most valuable natural resources on the planet, the water, has led to fee collection for it. Because the water had become owned, the people and companies that have the ownership rights, are charging the people for the water that they are spending. Also, the fee collection goes for the specific water services as well, thus the people have been put into a situation to pay for the most basic mean of life, the one that means life, which is given by the nature.
The government of Iran can be classified as a theocracy. Which statement provides the best definition of theocracy?
A)
A government ruled by a wealthy, upper class elite.
B)
A government ruled by priests or religious leaders claiming a direct link to god.
C)
A government ruled by a small group distinguished by royalty, wealth, family, or military powers.
D)
A government ruled by people who have been selected by talent, ability, and good leadership skills.
Hi, I hope that you are having a great day, the answer is b.
What is a convection current?
Answer:
A convection current is the flow of heat within a fluid.
identify which type of ecological pyramid best traces the flow of matter through an ecosystem. Explain your answer.
Which geographical feature is described below?
It extends from central Alabama through Georgia, the Carolinas, Virginia, Maryland, Pennsylvania, and Delaware.
It is a wide, flat area with a rocky subsurface.
It is located between the Atlantic Coastal Plain to the east and the Appalachian Highlands to the west.
Gulf Coastal Plain
Piedmont Plateau
Great Plains
Great Basin
Answer:
The described geographical feature is the Piedmont Plateau.
Explanation:
Piedmont is a plateau region in the United States that lies between the Atlantic Coastal Plain and the Appalachians.
The plateau runs from New Jersey in a north-westerly direction through the states of Pennsylvania, Delaware, Maryland, Virginia, North Carolina, South Carolina and Georgia, all the way to the state of Alabama. The Piedmont has a total area of approximately 210,000 km² and is a maximum of 475 km wide (in North Carolina). Well-known cities in this region are Charlotte, Atlanta and the urbanized area (Delaware Valley) around Philadelphia and Wilmington.
The geographical feature described is the Piedmont Plateau, situated between the Atlantic Coastal Plain and the Appalachian Highlands.
Explanation:The geographical feature described that extends from central Alabama through Georgia, the Carolinas, Virginia, Maryland, Pennsylvania, and Delaware is the Piedmont Plateau. This feature is a wide, flat area with a rocky subsurface that lies between the Atlantic Coastal Plain to the east and the Appalachian Highlands to the west. It is known for its rolling hills and was an area of strategic importance historically due to its location and resources.
What role do aquifers play in the water cycle?
a. they store water in the ground.
b. they transfer water to the air.
c. they are the main source of water on earth.
d. they move water through capillarity
Answer:
A. They Store water in the ground
Explanation:
just finished my test
Aquifers play a crucial role in the water cycle primarily by storing water in the ground. These underground reservoirs consist of porous and permeable rock layers, such as sand or gravel, capable of holding water.Hence option A is correct.
When precipitation occurs, a portion of the water infiltrates through the soil and reaches the aquifer, where it is stored. This stored water in aquifers serves as a vital source for various purposes, including drinking water supply, irrigation, and industrial use.
While aquifers primarily store water, they also contribute indirectly to the movement of water through a process called capillarity. Capillarity is the ability of water to move vertically through small spaces against gravity. In the context of aquifers, it refers to the upward movement of water from the saturated zone to the unsaturated zone through tiny spaces within the soil and rocks.
This capillary action allows water to be drawn upward, enabling plants to access groundwater and aiding in the replenishment of soil moisture. Thus, aquifers facilitate the movement of water within the terrestrial environment.
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The opinion polls do not elect members of Congress.
TRUE
FALSE
Answer:
TRUE
Explanation:
The option pools refer to the pools of the survey and are usually designed to present the options of a public and the collective of the opinions and the congress is not elected as the members.A basket has a mass of 5.5 kg. Find the magnitude of the normal force if the basket is at rest on a ramp inclined above the horizontal at:
a) 0 degrees (horizontal surface)
b) 12 degrees
c) 25 degrees
d) 45 degrees
How far across is Kievan Russia at about 1000 at its longest point?
Final answer:
In around 1000, Kievan Russia was at its largest, stretching across a considerable distance. It connected the Baltic Sea with the Black Sea and had trade links with Constantinople. Kievan Russia's territories eventually fragmented and Moscow emerged as a new center of power, leading to the establishment of modern-day Russia.
Explanation:
In around 1000, Kievan Russia was at its largest, stretching across a considerable distance. Although the exact length is not mentioned, we can infer that it was significant based on the historical context. Kievan Rus' was a confederation of city-states, with Kiev as its capital. It connected the Baltic Sea with the Black Sea and had trade links with Constantinople. Kievan Russia's territories eventually fragmented and Moscow emerged as a new center of power, leading to the establishment of modern-day Russia.
A breakage in the asthenosphere is called a fault.
False or true
A passive continental margin has areas were mountains are currently being built.
True or false
When a hanging wall moved down with respect to the football
A. Reverse fault
B. Normal fault
C. Trust fault
D. Strike-slip
All rocks react to stress the same
False or true
The Andes were an example of an active continental margin
False or true
This occurs when a hanging wall moves up with respect to the football
A. Normal fault
B. Thrust fault
C. Reverse fault
D. Strike-slip fault
Answer:
6 is actually thrust fault
Due to the actions of growth-oriented, unbending bureaucrats, who extracted large amounts of water for cotton irrigation, the ____ Sea is now less than half its previous size
A. Caspian
B. Baltic
C. Aral
D. Black
São paulo, rio de janeiro, and brasilia are major cities in __________.
a. argentina
b. mexico
c. brazil
d. peru
You can vote at any polling location.
TRUE
FALSE