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Unit 5, Quiz 1 Review

Unit 5, Quiz 1 Review

Assessment

Presentation

Mathematics

9th - 12th Grade

Medium

CCSS
HSF.TF.A.1, HSG.SRT.C.8, HSG.SRT.C.6

+2

Standards-aligned

Created by

Gema Venegas

Used 2+ times

FREE Resource

7 Slides • 14 Questions

1

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2

Converting Degrees to Radians

3

Multiple Choice

To convert from degrees to RADIANS

1

multiply by

π180°\frac{π}{180°}

2

multiply by
180°π\frac{180°}{π}

3

multiply by
π2\frac{π}{\sqrt{2}}

4

multiply by
π3\frac{π}{\sqrt{3}}

4

Multiple Choice

What is  225°225\degree   in radians? 

1

7π4\frac{7\pi}{4}  

2

5π4\frac{5\pi}{4}  

3

3π4\frac{3\pi}{4}  

4

5π3\frac{5\pi}{3}  

5

Multiple Choice

What is 270°270\degree  in radians?

1

π4\frac{\pi}{4}

2

3π2\frac{3\pi}{2}

3

3π4\frac{3\pi}{4}

4

π2\frac{\pi}{2}

6

Multiple Choice

Convert 510°510\degree to Radians

1

25π3\frac{25\pi}{3}

2

23π8\frac{23\pi}{8}

3

17π6\frac{17\pi}{6}

4

51π8\frac{51\pi}{8}

7

Converting Radians to Degrees

8

Multiple Choice

To convert from radians to DEGREES

1

multiply by

π180°\frac{π}{180°}

2

multiply by
180°π\frac{180°}{π}

3

multiply by
π2\frac{π}{\sqrt{2}}

4

multiply by
π3\frac{π}{\sqrt{3}}

9

Multiple Choice

What is 2π3\frac{2\pi}{3}   radians in degrees? 

1

150°150\degree  

2

120°120\degree  

3

180°180\degree  

4

30°30\degree  

10

Multiple Choice

What is 7π4\frac{7\pi}{4} in degrees?

1

300°300\degree  

2

135°135\degree  

3

315°315\degree  

4

45°45\degree  

11

Multiple Choice

8π3\frac{8\pi}{3}  is equivalent to what degree measure?

1

480°480\degree  

2

240°240\degree  

3

800°800\degree  

4

24°24\degree  

12

There are 3 trigonometric ratios we can use for right triangles.

We use the acronym SOH CAH TOA to help us remember their definitions.

Trigonometric Ratios

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13

Multiple Choice

Which trigonometric ratio is correct?
1

sinA=oppositeadjacent\sin A=\frac{opposite}{adjacent}

2

cosA=oppositehypotenuse\cos A=\frac{opposite}{hypotenuse}

3

tanA=oppositeadjacent\tan A=\frac{opposite}{adjacent}

4

sinA=adjacenthypotenuse\sin A=\frac{adjacent}{hypotenuse}

14

We can use trigonometric ratios (SOH CAH TOA) to find the missing side lengths of right triangles.
1. Label the sides of the right triangle.
2. Write an equation for the right triangle using the two labeled sides and given angle.
3. Use reverse PEMDAS to solve the equation.

Finding Missing Sides of Right Triangles

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15

Here's a video with more examples on how to find missing side lengths of right triangles.
You can also review your guided notes #2, before you answer the following questions.

Finding Missing Sides of Right Triangles

16

Multiple Choice

Question image

Find the length of the missing side x...


Round your answer to the nearest tenth.

1

3.8 cm

2

28.8 cm

3

3.9 cm

4

3.6 cm

17

Multiple Choice

Question image

Find the length of the missing side x...


Round your answer to the nearest tenth.

1

15.1 cm

2

15.2 cm

3

10.1 cm

4

10.2 cm

18

Math Response

Find the length of the missing side x...


Round your answer to the nearest tenth.

Type answer here
Deg°
Rad

19

Multiple Choice

Question image

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. Round your answer to the nearest foot.

1
63 ft
2
65 ft
3
74 ft
4
87 ft

20

Multiple Choice

Question image

From point P on the ground, the angle of elevation of an airplane is 23°23\degree  . The altitude of the plane is 1200 meters. What is the distance from point P to the airplane?  Round your answer to the nearest tenth.

1

3071.2 m

2

2827.0 m

3

1303.6 m

4

468.9 m

21

Remember your quiz is tomorrow and will cover the first 3 sections of Unit 5.

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