Download Practice B - Spokane Public Schools

Name ________________________________________ Date __________________ Class__________________
LESSON
13-1
Practice B
Right-Angle Trigonometry
Find the value of the sine, cosine, and tangent functions for θ.
1.
2.
________________________
3.
________________________
____________________
Use a trigonometric function to find the value of x.
4.
5.
________________________
6.
________________________
____________________
Find the values of the six trigonometric functions for θ.
7.
8.
9.
_______________________________ _______________________________
________________________
_______________________________ _______________________________
________________________
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?
___________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
13-4
Holt Algebra 2
c. S =
a1
; 40 ft
1− r
2. 30 ft
2.
3 4 3
, ,
5 5 4
4.
12 5 12
, ,
13 13 5
3.
60
8
40
6
30
3
15
1
5
b. cos 45° =
c. cos 45° =
x
12 2
2
2
d. x = 12
4. Let x = drop height and y = total vertical
distance; y = 5x
5. A
9 40 9
,
,
41 41 40
5.a. Cosine
Drop Height (ft) Total Vertical Distance (ft)
12
3.
6. 10
7. 8
8. 9
9. 45 ft
Practice B
6. J
1.
4 3 4
; ;
5 5 3
2.
3.
12 5 12
; ;
13 13 5
4. 6 3
5.
44 3
3
6. 7
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.
7. sin θ =
2. No; a converging series approaches a
constant number but never reaches it.
12
5
12
; cos θ =
; tan θ =
13
13
5
13
13
5
; sec θ =
; cot θ =
12
5
12
csc θ =
3. a. Converging
b. Diverging
c. Diverging
8. sin θ =
3
4
3
; cos θ = ; tan θ =
5
5
4
csc θ =
5
5
4
; sec θ = ; cot θ =
3
4
3
d. Converging
4. Diverging; possible answer: because
there would be no limit to the total payout,
the amount I receive would increase each
year.
9. sin θ =
9
40
9
; cos θ =
; tan θ =
41
41
40
csc θ =
41
41
40
; sec θ =
; cot θ =
9
40
9
LESSON 13-1
10. 47 ft
Practice A
9 40 9
;
;
41 41 40
11. 162 ft
12. 4817 m
48 24
1. a. sinθ =
=
50 25
Practice C
b. cosθ =
14
7
=
50 25
1.
7 24 7
;
;
25 25 24
2.
c. tanθ =
48 24
=
14
7
3.
60 11 60
; ;
61 61 11
4. 20 3
5. 3.4 3
4 3 4
; ;
5 5 3
6. 16
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A52
Holt Algebra 2