From the top of a building 42 feet high, the angle of depression to a car stopped on the ground it is 27°. What is the distance from the car to the base of the building?

Answer:

[tex]82.43\ \text{feet}[/tex]

Explanation:

Angle of depression = [tex]27^{\circ}[/tex]

b = Height of building = 42 feet

[tex]\theta=90-27=63^{\circ}[/tex]

p = Distance from the car to the base of the building

From the trigonometric identities we get

[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=42\tan63^{\circ}\\\Rightarrow p=82.43\ \text{feet}[/tex]

The distance from the car to the base of the building is [tex]82.43\ \text{feet}[/tex].

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How will would you explain earth
revolution and its effects to you
Learners.​

The elements of the chart above have all contribute to the growth of

A. The global Diamond trade

B. Wildlife poaching

C. Deforestation in the Sahel

D. Deforestation


Please help

I would give brainliest and five stars and 10 points for the best answer


I do not want to see a link as an answer

Layers of the structure of the Earth in order (inside to outside) their are 5

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OA.
when
you would like to insert your own comment within a quote
when you need to clarify the tense or the subject within a quote
OB
O c. when you want to omit irrelevant parts of the quote

The shift from gathering food to growing food is known as the...

A. industrial revolution

B. scientific revolution

C. exploration revolution

D.agricultural revolution

You have an isotope with a half-life of 200 years How much of the original material
is left after 600 years?

The form of the government best fits the description

A. Democracy

B. Theocracy

C. Autocracy

D. Anarchy

please help

I will give BRANLIEST and 5 * and 10 points for the best

I do not want to see a link as a answer if I see a link as a answer I will report

Helpppppppppp me please

Sunlight is an important resource. It can provide energy for
solar power.
Annual Average Direct Sunlight Received in the United States
kWh/m²/Day
> 7.5
7.0 to 7.5
6.5 to 7.0
6.0 to 6.5
5.5 to 6.0
5.0 to 5.5
4.5 to 5.0
4.0 to 4.5
< 4.0
BONREL
Based on the map shown above, which statement is most accurate?
O A. Solar energy is most available in the southwestern part of the
United States.
OB. Solar energy is most available in the northwestern part of the
United States.
O C. Solar energy is evenly available all over the United States.
OD. Solar energy is most available in the southeastern part of the
United States

QUESTION 18
The majority of Baptists in the United States live in the
southeast
southwest
northeast
northwest

____________ igneous rock is dense and has a dark color.
a.
basaltic
c.
granitic
b.
intrusive
d.
extrusive

Which country invaded Iran twice in the early 20th century and in effect gained control over much of its oil?
The U.S.
The United Kingdom
France
The Soviet Union

I need help with this

1. Which of the following is a national resource?
(a) gold and minerals
(b) the money in the Bank
(c) the people
(d) all​

Which of these descriptions best describe El Niño

John and Lisa have a two month old baby. John feels that after the baby’s birth,

Which seafloor features are associated with young crust?

Which best explains why the relationship between developed and developing countries is often portrayed as a
north-south split?
O World centers of wealth and power are concentrated in the north.
O The north is mostly excluded from the world economy
O Uneven development has occurred only in the south.
The south controls the means of development.
Global development patterns are evenly distributed in the north and south.

Malaria and AIDS are common in many African countries in part because governments

A. believe that these diseases with disappear on their own
B. avoid helping fight diseases for religious reasons
C. Do not think that these diseases present major problems to the population
D.have little money to spend on programs to fight these diseases.

Trump was right when he was quoted as saying that India and China do not border one another.
True
False

Question 6 of 10
Which type of severe weather is related to high-pressure system
A Heat wave
B. Tornado
C. Hurricane
D. Thunderstorm

Once more a mysterious metallic sphere has come to ground in Kansas, and the citizens of Hoxie have called in your consulting firm for help in identifying the material in the meteorite, which appears to have magnetic properties. You rush to Hoxie to investigate, but unfortunately your Hall probe device fails, leaving you with only a strong bar magnet and a sensitive compass. You also have a hammer to knock pieces of meteorite off for study, scissors and some thread. Using these tools, you manage to identify samples from three parts of the meteorite as being diamagnetic, paramagnetic, and ferromagnetic. For your later report, you jot down the measurements and observations you made to establish the identifications. Briefly summarize these for the: A. Diamagnet. B. Paramagnet. C. Ferromagnet

Which form of government best fits the description below


A. Democracy


b. Theocracy


c. Autocracy


d. Anarchy


please help


I will brainlist and 5 * for the best answer



if I see a link I will report you

can someone send me a random receipt you have you gotten recently.​

Rivers can get water from the underground water table.

Select one:
True
False

Which resource is renewable?
A. Wind
B. Coal
C. Diamonds
D. Aluminum

The geographic barrier to the south is the:
-Gobi Desert
-Altai Mountains
-South China Sea

The East China Sea is a geographic barrier to the:
-East
-North
-West

The Gobi desert is a geographic barrier to the:
-East
-North
-South

QUESTION 36
1 points
points
In 1954 the United States overthrew the democratically elected government of largely at the behest of the U.S.-based United Fruit
Company
Nicaragua
Chile
Guatemala
Costa Rica

According to the Roman Historian Livy, what is NOT an advantage of location of Rome as a city.

O A central location in Italy

O Access to valuable metals such as gold

O Access to the sea for commerce from abroad

O Produce provided by the inland regions along the Tiber River