right triangle trig missing sides and angles - …bakermath.org/classes/algebra ii/trig/t3-missing...

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Kuta Software - Infinite Algebra 2 Name___________________________________ Period____ Date________________ Right Triangle Trig. - Finding Missing Sides and Angles Find the measure of each angle indicated. Round to the nearest tenth. 1) 13 12 A B C θ 2) 4 13 A B C θ 3) 9 6 A B C θ 4) 11.9 10 A B C θ 5) 7.7 14 B A C θ 6) 5 4 B A C θ 7) 11 4.4 B A C θ 8) 3 3 B A C θ Find the measure of each side indicated. Round to the nearest tenth. 9) x 11 B A C 37° 10) x 13 A B C 32° 11) x 5 A B C 50.1° 12) 11 x A B C 60° -1-

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Page 1: Right Triangle Trig Missing Sides and Angles - …bakermath.org/Classes/Algebra II/Trig/T3-Missing Sides... ·  · 2012-02-22Kuta Software - Infinite Algebra 2 Name_____ Right Triangle

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Right Triangle Trig. - Finding Missing Sides and Angles

Find the measure of each angle indicated. Round to the nearest tenth.

1)

13

12

AB

C

θ

2)

413

A B

C

θ

3)

9

6

A B

C

θ

4)

11.9 10

AB

C

θ

5)

7.7 14

BA

C

θ

6)

5

4B

A

C

θ

7) 11

4.4

BA

C

θ

8)

3

3

B

AC

θ

Find the measure of each side indicated. Round to the nearest tenth.

9)

x11

B

AC

37°

10)

x

13A

B

C

32°

11)

x

5

A

BC

50.1°

12) 11

x

AB

C

60°

-1-

Page 2: Right Triangle Trig Missing Sides and Angles - …bakermath.org/Classes/Algebra II/Trig/T3-Missing Sides... ·  · 2012-02-22Kuta Software - Infinite Algebra 2 Name_____ Right Triangle

13)

x4

B A

C

41°

14)

x

10.8A

B

C

57°

15)

10.3

x

A

BC

37°

16)

3x

A

BC

47°

Solve each triangle. Round answers to the nearest tenth.

17)

22.6 mi

AB

C

62°

18)

9 in

B

AC

51°

19)

4.5 miA

B

C

42°

20)

5 m BA

C

53°

21)

29.3 mi

AB

C

28°

22)

14 mi

A

B

C

24°

23)

3 cm

B

A

C

40°

24)

6 in

BA

C

28°

-2-

Page 3: Right Triangle Trig Missing Sides and Angles - …bakermath.org/Classes/Algebra II/Trig/T3-Missing Sides... ·  · 2012-02-22Kuta Software - Infinite Algebra 2 Name_____ Right Triangle

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Right Triangle Trig. - Finding Missing Sides and Angles

Find the measure of each angle indicated. Round to the nearest tenth.

1)

13

12

AB

C

θ

22.6°

2)

413

A B

C

θ

17.1°

3)

9

6

A B

C

θ

48.2°

4)

11.9 10

AB

C

θ

50°

5)

7.7 14

BA

C

θ

28.8°

6)

5

4B

A

C

θ

36.9°

7) 11

4.4

BA

C

θ

66.4°

8)

3

3

B

AC

θ

45°

Find the measure of each side indicated. Round to the nearest tenth.

9)

x11

B

AC

37°

13.8

10)

x

13A

B

C

32°

8.1

11)

x

5

A

BC

50.1°

6

12) 11

x

AB

C

60°

5.5

-1-

Page 4: Right Triangle Trig Missing Sides and Angles - …bakermath.org/Classes/Algebra II/Trig/T3-Missing Sides... ·  · 2012-02-22Kuta Software - Infinite Algebra 2 Name_____ Right Triangle

13)

x4

B A

C

41°

4.6

14)

x

10.8A

B

C

57°

12.9

15)

10.3

x

A

BC

37°

6.2

16)

3x

A

BC

47°

2

Solve each triangle. Round answers to the nearest tenth.

17)

22.6 mi

AB

C

62° 28°

12 mi

25.6 mi

18)

9 in

B

AC

51°

39°

7.3 in

11.6 in

19)

4.5 miA

B

C

42°

48°

5 mi

6.7 mi

20)

5 m BA

C

53°37°

4 m 3 m

21)

29.3 mi

AB

C

28°62°

15.6 mi

33.2 mi

22)

14 mi

A

B

C

24°

66°5.7 mi

12.8 mi

23)

3 cm

B

A

C

40°

50°

2.3 cm

1.9 cm

24)

6 in

BA

C

28°62°

3.2 in

6.8 in

-2-