Chapter 8: Right Triangles and Trigonometry

Descrição

Learn when to use trigonometry, similar triangles, Pythagorean Theorem, Law of Sines, and Law of Cosines.
Selam H
Quiz por Selam H, atualizado more than 1 year ago
Selam H
Criado por Selam H quase 11 anos atrás
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8

Resumo de Recurso

Questão 1

Questão
For this question, you ONLY use geometric mean and Pythagorean Theorem.
Responda
  • True
  • False

Questão 2

Questão
Given the picture to the left, solve for "x." If needed, solve for the REDUCED RADICAL; if it is a whole number, this is not needed.
Responda
  • \(x=√32 u\)
  • \(x=4√2 u\)
  • \(x=4√3 u\)
  • \(x=√48 u\)

Questão 3

Questão
\[m∠A = ?\] Round your answer to the nearest tenths place.
Responda
  • \[m∠A ≈ 58°\]
  • \[m∠A ≈ 59°\]
  • \[m∠A ≈ 58.67°\]
  • \[m∠A ≈ 0.90°\]

Questão 4

Questão
What is ∠a known as in this picture?
Responda
  • Angle of Elevation
  • Angle of Depression
  • Horizontal Angle
  • Vertical Angle

Questão 5

Questão
What is ∠b known as in this picture?
Responda
  • Horizontal Angle
  • Angle of Depression
  • Vertical Angle
  • Angle of Elevation

Questão 6

Questão
Find x given the information in the picture. Use reduced radicals.
Responda
  • \[x ≈ 12.65 u\]
  • \[x = \frac{4√30}{√3} u\]
  • \[x = 4√3 u\]
  • \[x = 4√10 u\]

Questão 7

Questão
Given that triangle ABC is AB = 13 inches and BC = 12 inches. How many inches is BC if triangle ABC is a right triangle?
Responda
  • 7 inches
  • 5 inches
  • 12 inches
  • 10 inches

Questão 8

Questão
Find AC and round to the nearest tenths place.
Responda
  • AC ≈ 9
  • AC ≈ 8.9
  • AC ≈ 8.8
  • AC ≈ 12

Questão 9

Questão
Olivia is in a lighthouse that is 85 feet tall on top of a cliff. She observes two sailboats due east of the light houses. The angles of depression to the two boats are 33° and 55°. If the cliff stands 110 feet above sea level, find the distance between the two boats. Round to the nearest hundreds place. It would probably help to draw a picture for this word problem.
Responda
  • 126.63 feet
  • 300.27 feet
  • 173.64 feet
  • 163.64 feet

Questão 10

Questão
Find side c. Round your answer to the nearest hundreds place.
Responda
  • 6.02 units
  • 6.01 units
  • 5.76 units
  • 5.77 units

Questão 11

Questão
Find the geometric mean of the following numbers: 9 and 7
Responda
  • 3√63
  • 3√7
  • 63
  • 63√3

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