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Name ________________________________________ Date __________________ Class__________________
LESSON
10-1
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.
10-4
Holt McDougal Algebra 2
10-1 RIGHT-ANGLE TRIGONOMETRY
10. 47 ft
11. 162 ft
12. 4817 m
Practice A
1. a. sinθ =
48 24
=
50 25
b. cos θ =
14
7
=
50 25
Practice C
48 24
=
c. tanθ =
14
7
2.
3 4 3
, ,
5 5 4
4.
12 5 12
, ,
13 13 5
1.
7 24 7
;
;
25 25 24
2.
3.
60 11 60
; ;
61 61 11
4. 20 3
5. 3.4 3
3.
9 40 9
,
,
41 41 40
b. cos 45° =
7
24
; cos θ =
;
25
25
tanθ =
7
25
; csc θ =
;
24
7
sec θ =
25
24
; cot θ =
24
7
c. cos 45° =
x
12 2
2
2
8. sinθ =
12
5
; cos θ =
;
13
13
tan θ =
12
13
; csc θ =
;
5
12
sec θ =
13
5
; cot θ =
5
12
d. x = 12
6. 10
7. 8
8. 9
9. 45 ft
6. 16
7. sinθ =
5.a. Cosine
9. sinθ =
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 3
3
6. 7
12
5
12
; cos θ =
; tan θ =
7. sin θ =
13
13
5
4 3 4
; ;
5 5 3
10
15
; cos θ =
;
5
5
tan θ =
6
10
; csc θ =
;
3
2
sec θ =
15
6
; cot θ =
3
2
10. 83.5 ft
11. 287 ft
12. 2350 m
Reteach
13
13
5
; sec θ =
; cot θ =
12
5
12
1.
3
5
4
5
3
4
8. sin θ =
3
4
3
; cos θ = ; tan θ =
5
5
4
2.
12
13
5
13
12
5
csc θ =
5
5
4
; sec θ = ; cot θ =
3
4
3
3.
8
17
15
17
8
15
csc θ =
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
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A30
Holt McDougal Algebra 2