Chapter 8: Right Triangles and Trigonometry

Selam H
Quiz by Selam H, updated 10 months ago
Selam H
Created by Selam H about 6 years ago
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7

Description

Learn when to use trigonometry, similar triangles, Pythagorean Theorem, Law of Sines, and Law of Cosines.
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Resource summary

Question 1

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

Question 2

Question
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.
Answer
  • \(x=√32 u\)
  • \(x=4√2 u\)
  • \(x=4√3 u\)
  • \(x=√48 u\)

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

Question
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.
Answer
  • 126.63 feet
  • 300.27 feet
  • 173.64 feet
  • 163.64 feet

Question 10

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

Question 11

Question
Find the geometric mean of the following numbers: 9 and 7
Answer
  • 3√63
  • 3√7
  • 63
  • 63√3
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