# Chapter 8: Right Triangles and Trigonometry

Quiz by Selam H, updated 10 months ago
 Created by Selam H about 6 years ago
806
7

### Description

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

## Resource summary

### Question 1

Question
For this question, you ONLY use geometric mean and Pythagorean Theorem.
• 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.
• $$x=√32 u$$
• $$x=4√2 u$$
• $$x=4√3 u$$
• $$x=√48 u$$

### Question 3

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

### Question 4

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

### Question 5

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

### Question 6

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

### 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?
• 7 inches
• 5 inches
• 12 inches
• 10 inches

### Question 8

Question
Find AC and round to the nearest tenths place.
• 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.
• 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.
• 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
• 3√63
• 3√7
• 63
• 63√3

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