Geography College

A triangle has sides of length 5 ft, 9 ft, and 13 ft.

What is the measure of the angle opposite the side that is 9 ft long? Round to the nearest degree.

Answers

Answer 1

Answer:

To find the measure of the angle opposite the side that is 9 ft long, we can use the law of cosines, which states that c^2 = a^2 + b^2 - 2ab cos(C), where a, b, and c are the lengths of the sides of a triangle, and C is the angle opposite the side of length c.

In this case, a = 5 ft, b = 13 ft, and c = 9 ft. We want to find the measure of the angle C opposite the side of length c = 9 ft.

Plugging in the values, we get:

9^2 = 5^2 + 13^2 - 2(5)(13)cos(C)

81 = 194 - 130cos(C)

130cos(C) = 113

cos(C) = 113/130

C = cos^-1(113/130)

Using a calculator, we get:

C ≈ 38.2 degrees

Therefore, the measure of the angle opposite the side that is 9 ft long is approximately 38 degrees.

Related Questions

Geography is the study of areal differentiation." Discuss with examples

Answers

Answer:

Explanation:

Geography is the study of areal differentiation, which refers to the examination of differences and variations between various regions or areas. This involves analyzing the physical, biological, and human factors that contribute to the uniqueness of a place or region.

Physical geography is one of the branches of geography that examines the natural environment, including landforms, climate, vegetation, and water bodies. For example, the Great Rift Valley in Africa is a unique physical feature that has been shaped by tectonic and volcanic activity, resulting in a distinctive landscape with steep cliffs, deep gorges, and flat plains.

Human geography, on the other hand, focuses on the social and cultural aspects of human life, including population, economics, politics, and religion. For example, the cultural differences between different regions in the world can be seen in their language, customs, and beliefs. The Middle East, for instance, is characterized by a strong religious tradition and a long history of conflict, while Southeast Asia is known for its diverse ethnic groups and unique cultural practices.

Geographers also study the interactions between human and natural systems, such as how human activities affect the environment and how the environment influences human activities. For example, the Amazon rainforest in South America is not only a unique natural environment with rich biodiversity, but it is also home to indigenous peoples who have developed sustainable ways of life that are closely linked to the ecosystem.

Overall, the study of areal differentiation in geography provides insight into the complex interactions between physical and human systems and helps us better understand the diversity and uniqueness of different regions around the world.

arent earth and human self very related?
What do you think?​

Answers

The relationship between Earth and humans is indeed very interconnected. Humans rely on the Earth's resources and ecosystems for their survival and wellbeing, while human actions and behaviors can have a significant impact on the health and sustainability of the planet.

Earth and Humans Relationship.

The relationship between Earth and humans is indeed very interconnected. Humans rely on the Earth's resources and ecosystems for their survival and wellbeing, while human actions and behaviors can have a significant impact on the health and sustainability of the planet.

The Earth and humans are in a dynamic relationship, with each influencing and affecting the other. It is essential for humans to recognize their responsibility to care for the Earth and strive for sustainable and harmonious coexistence with the planet's natural systems.

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The community of Estula receives regular shipments of arms to help fight the cartels.
True or False

Answers

It is a false statement that the community of Estula receives regular shipments of arms to help fight the cartels.

What do cartels deal with?

An illicit consortium of independent organizations formed to limit competition and control the production and distribution of illegal drugs is known as a drug cartel. Drug cartels are highly organized, well-financed, effective, and ruthless. They have dominated the international narcotics trade since the 1980s.

The drug war in the United States began during the presidency of Richard Nixon. Nixon declared drug abuse to be "public enemy number one" after winning the presidential election in 1968. Efforts to halt the flow of illegal drugs into the United States—the primary destination for the majority of narcotics—became increasingly focused on limiting foreign production of marijuana and heroin.

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