Chapter 8: Right Triangles and Trigonometry

Question 1 of 11

1

For this question, you ONLY use geometric mean and Pythagorean Theorem.

Select one of the following:

True
False

Explanation

Question 2 of 11

1

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.

Select one of the following:

\(x=√32 u\)
\(x=4√2 u\)
\(x=4√3 u\)
\(x=√48 u\)

Explanation

Question 3 of 11

1

\[m∠A = ?\] Round your answer to the nearest tenths place.

Select one of the following:

\[m∠A ≈ 58°\]
\[m∠A ≈ 59°\]
\[m∠A ≈ 58.67°\]
\[m∠A ≈ 0.90°\]

Explanation

Question 4 of 11

1

What is ∠a known as in this picture?

Select one of the following:

Angle of Elevation
Angle of Depression
Horizontal Angle
Vertical Angle

Explanation

Question 5 of 11

1

What is ∠b known as in this picture?

Select one of the following:

Horizontal Angle
Angle of Depression
Vertical Angle
Angle of Elevation

Explanation

Question 6 of 11

1

Find x given the information in the picture. Use reduced radicals.

Select one of the following:

\[x ≈ 12.65 u\]
\[x = \frac{4√30}{√3} u\]
\[x = 4√3 u\]
\[x = 4√10 u\]

Explanation

Question 7 of 11

1

Given that triangle ABC is AB = 13 inches and BC = 12 inches. How many inches is BC if triangle ABC is a right triangle?

Select one of the following:

7 inches
5 inches
12 inches
10 inches

Explanation

Question 8 of 11

1

Find AC and round to the nearest tenths place.

Select one of the following:

AC ≈ 9
AC ≈ 8.9
AC ≈ 8.8
AC ≈ 12

Explanation

Question 9 of 11

3

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.

Select one of the following:

126.63 feet
300.27 feet
173.64 feet
163.64 feet

Explanation

Question 10 of 11

1

	Created by Selam H about 10 years ago

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

Chapter 8: Right Triangles and Trigonometry

Chapter 8: Right Triangles and Trigonometry

Question 1 of 11

For this question, you ONLY use geometric mean and Pythagorean Theorem.

Select one of the following:

Explanation

Question 2 of 11

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.

Select one of the following:

Explanation

Question 3 of 11

\[m∠A = ?\] Round your answer to the nearest tenths place.

Select one of the following:

Explanation

Question 4 of 11

What is ∠a known as in this picture?

Select one of the following:

Explanation

Question 5 of 11

What is ∠b known as in this picture?

Select one of the following:

Explanation

Question 6 of 11

Find x given the information in the picture. Use reduced radicals.

Select one of the following:

Explanation

Question 7 of 11

Given that triangle ABC is AB = 13 inches and BC = 12 inches. How many inches is BC if triangle ABC is a right triangle?

Select one of the following:

Explanation

Question 8 of 11

Find AC and round to the nearest tenths place.

Select one of the following:

Explanation

Question 9 of 11

Select one of the following:

Explanation

Question 10 of 11

Find side c. Round your answer to the nearest hundreds place.

Select one of the following:

Explanation

Question 11 of 11

Find the geometric mean of the following numbers: 9 and 7

Select one of the following:

Explanation