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Advanced Algebra Sections 9.1 and 9.2

Total questions: 25

Worksheet time: 2hrs 55mins

Name
Class
Date
1.

Convert 220° to a radian measure.

a)

11π/9

b)

11π/12

c)

9π/11

d)

12π/11

2.

Convert 88° to a radian measure

a)

22π/45

b)

45π/22

c)

22π/15

d)

15π/22

3.

Convert 175° to a radian measure

a)

35π/36

b)

36π/35

c)

27π/19

d)

19π/27

4.

Convert 382° to a radian measure

a)

191π/90

b)

119π/9

c)

90π/191

d)

9π/119

5.

Convert -724° to a radian measure

a)

181π/45

b)

191π/30

c)

191π/52

d)

191π/60

6.

Convert 5π/3 to a degree measure

a)

300

b)

295

c)

320

d)

332

7.

Convert π/8 to a degree measure

a)

22.5

b)

45

c)

30.5

d)

12.5

8.

Convert 2π/9 to a degree measure

a)

40

b)

60

c)

36

d)

45

9.

Convert -5π/4 to a degree measure

a)

-225

b)

225

c)

-175

d)

175

10.

Convert 2.86 radians to a degree measure

a)

163.9

b)

172.2

c)

158.9

d)

165.9

11.

What quadrant would the terminal side be for a standard position angle of 222°?

a)

3

b)

1

c)

2

d)

4

12.

What quadrant would the terminal side be for a standard position angle of -321°?

a)

1

b)

2

c)

3

d)

4

13.

What quadrant would the terminal side be for a standard position angle of 8π/15?

a)

2

b)

1

c)

3

d)

4

14.

What quadrant would the terminal side be for a standard position angle of -12π/17?

a)

3

b)

1

c)

2

d)

4

15.

Give a coterminal angle for 318°.

a)

-42°

b)

362°

c)

-222°

d)

-12°

16.

Give a coterminal angle to 290°

a)

-110°

b)

364°

c)

650°

d)

770°

17.

What radian measure is equal to 135°?

a)

3π/4

b)

5π/4

c)

3π/2

d)

3.78 radians

18.

Solve for x and y

a)

x = 62.1, y = 70.3

b)

x = 62.1, y = 77.4

c)

x = 56.1, y = 70.3

d)

x = 44.9, y = 62.1

19.

A scarecrow on the farm ground notices a crow flying in the night's sky using a 68° angle of elevation. The distance from the crow to the scare crow is 212 ft. What is the altitude of the crow?

a)

196.6 ft

b)

79.4 ft

c)

524.7 ft

d)

111.6 ft

20.

A student standing on the ground see's a cloud shaped like a rhombus using an angle of elevation of 59°. The altitude of the clouds today is at 10,000 feet. How far away is the cloud from the student?

a)

11,666 ft

b)

19,416 ft

c)

59,000 ft

d)

6008 ft

21.

Solve for Cos 30°

NO DECIMALS

a)

√3/2

b)

1/2

c)

√3/3

d)

√2/2

22.

Solve for Sin 45°

NO DECIMALS

a)

√2/2

b)

√3/2

c)

√3/3

d)

1/2

23.

Solve for Cos (π/3)

a)

1/2

b)

√3/2

c)

√2/2

d)

√3/3

24.

Solve for Tan (π/4)

NO DECIMALS

a)

1

b)

√2/2

c)

√3/2

d)

1/2

25.

In what quadrant would the terminal side of <A land?

<A = 2337°

a)

2

b)

1

c)

4

d)

on the x-axis