Name ________________________________________ Date __________________ Class__________________

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13-4 Holt Algebra 2

Practice B Right-Angle Trigonometry

Find the value of the sine, cosine, and tangent functions for θ. 1. 2. 3.

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Use a trigonometric function to find the value of x. 4. 5. 6.

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Find the values of the six trigonometric functions for θ. 7. 8. 9.

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Solve. 10. A water slide is 26 feet high. The angle between the slide

and the water is 33.5°. What is the length of the slide? ___________________ 11. A surveyor stands 150 feet from the base of a viaduct and

measures the angle of elevation to be 46.2°. His eye level is 6 feet above the ground. What is the height of the viaduct to the nearest foot? ___________________

12. The pilot of a helicopter measures the angle of depression to a landing spot to be 18.8°. If the pilot’s altitude is 1640 meters, what is the horizontal distance to the landing spot to the nearest meter? ___________________

LESSON

13-1

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A52 Holt Algebra 2

c. 1 ; 40 ft1

aSr

=−

2. 30 ft 3.

Drop Height (ft) Total Vertical Distance (ft)

12 60

8 40

6 30

3 15

1 5

4. Let x = drop height and y = total vertical distance; y = 5x

5. A 6. J

Reading Strategy 1. Possible answer: A diverging series

increases as the number of terms increases. There is no limit to the sum. The graph looks similar to the exponential function.

2. No; a converging series approaches a constant number but never reaches it.

3. a. Converging b. Diverging c. Diverging d. Converging 4. Diverging; possible answer: because

there would be no limit to the total payout, the amount I receive would increase each year.

LESSON 13-1

Practice A

1. a. 48 24sin50 25

θ = =

b. 14 7cos50 25

θ = =

c. 48 24tan14 7

θ = =

2. 3 4 3, ,5 5 4

3. 9 40 9, ,41 41 40

4. 12 5 12, ,13 13 5

5.a. Cosine

b. cos 45° = 12 2

x

c. cos 45° = 22

d. x = 12 6. 10 7. 8 8. 9 9. 45 ft

Practice B

1. 4 3 4; ;5 5 3

2. 9 40 9; ;41 41 40

3. 12 5 12; ;13 13 5

4. 6 3

5. 44 33

6. 7

7. 12 5 12sin ; cos ; tan13 13 5

θ θ θ= = =

13 13 5csc ; sec ; cot12 5 12

θ θ θ= = =

8. 3 4 3sin ; cos ; tan5 5 4

θ θ θ= = =

5 5 4csc ; sec ; cot3 4 3

θ θ θ= = =

9. 9 40 9sin ; cos ; tan41 41 40

θ θ θ= = =

41 41 40csc ; sec ; cot9 40 9

θ θ θ= = =

10. 47 ft 11. 162 ft 12. 4817 m

Practice C

1. 7 24 7; ;25 25 24

2. 4 3 4; ;5 5 3

3. 60 11 60; ;61 61 11

4. 20 3

5. 3.4 3 6. 16