Chapter 8: Right Triangles and Trigonometry

Question 1

Question

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

Image:

gm.gif (image/gif)

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.

Image:

gm.gif (image/gif)

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.

Image:

cosine.PNG (image/PNG)

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?

Image:

angles.PNG (image/PNG)

Answer

Angle of Elevation
Angle of Depression
Horizontal Angle
Vertical Angle

Question 5

Question

What is ∠b known as in this picture?

Image:

angles.PNG (image/PNG)

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.

Image:

60_tri.PNG (image/PNG)

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.

Image:

cosine2.PNG (image/PNG)

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.

Image:

trian.PNG (image/PNG)

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

Next up

Chapter 8: Right Triangles and Trigonometry

Description

Resource summary

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

0 comments

Similar

	Created by Selam H over 11 years ago