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Name
LESSON
Date
Class
Practice B
13-1 Right-Angle Trigonometry
Find the value of the sine, cosine, and tangent functions for ␪.
1.
2.
S
3.
S
S
9 ; ___
40; ___
9
___
3; __
4 ; __
4
__
5 5 3
5 ; ___
12 ; ___
12
___
13 13 5
41 41 40
Use a trigonometric function to find the value of x.
4.
5.
6.
o
o
X
X
X
o
44 兹 3
______
6 兹3
7
3
Find the values of the six trigonometric functions for ␪.
7. S
8.
9.
S
S
5 ; tan ␪ __
12 ; cos ␪ __
12
sin ␪ __
5
13
13
3; cos ␪ _
3
4 ; tan ␪ __
sin ␪ _
5
5
4
9 ; cos ␪ ___
40; tan ␪ ___
9
sin ␪ ___
41
41
40
13; sec ␪ __
13 ; cot ␪ __
5
csc ␪ __
5
12
12
5; sec ␪ __
5; cot ␪ __
4
csc ␪ __
4
3
3
40
41; sec ␪ __
41; cot ␪ __
csc ␪ __
40
9
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?
47 ft
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?
162 ft
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?
Copyright © by Holt, Rinehart and Winston.
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