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Worksheets

Trigonometry

Total questions: 71

Worksheet time: 4hrs 32mins

Name
Class
Date
1.

Find the missing value.

Round to the nearest tenths.

a)

52.1o

b)

37.9o

c)

52.1 cm

d)

50.6 cm

2.

Find the missing value.

Round to the nearest tenths.

a)

34.2o

b)

55.8o

c)

39.6o

d)

29.7o

3.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

4.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
5.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
6.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
7.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
8.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
9.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
10.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
11.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
12.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
13.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
14.
Solve for x.
a)
10
b)
11.3
c)
12.0
d)
15.0
15.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
16.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
17.
Solve for x.
a)
30°
b)
45°
c)
60°
d)
90°
18.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

19.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

20.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

21.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

22.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
23.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
24.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
25.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
26.

What is the ratio for Tangent ?

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

27.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
28.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
29.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

30.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

31.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
32.
Find cos 58.4 to the nearest hundredth?
a)
.52
b)
.85
c)
.16
d)
.54
33.
Find tan 89 to the nearest hundredth?
a)
.54
b)
1
c)
.02
d)
57.29
34.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
35.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
36.
What is the adjacent side to <E?
a)
EF
b)
DF
c)
DE
37.
What is the ratio of Sin <D?
a)
sin<D = 4/5 = .8
b)
sin<D = 3/5=.6
c)
sin<D = 5/4 =1.25 
d)
sin <D = 5/3 = 1.7
38.
What is the ratio of Cos <E?
a)
Cos<E = 5/4 =1.25
b)
Cos<E = 3/5 =.6 
c)
Cos<E = 4/5 =.8 
d)
Cos<E = 3/4 =.75
39.
Which trigonometric ratio you would use to find side AB?
a)
Sin 60 = 10/AB
b)
Sin 60 = AB /10
c)
Cos 60 = 10 / AB
Cos 60 = 10 /AB
d)
tan 60 = AB /10
40.

Find the height(h)? ( feet=ft altura en pies)

a)

2000ft

b)

50 ft

c)

500 ft

d)

1732.05ft

41.

Find the length of side W?

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

42.
sin A = ?
a)
7/25
b)
24/25
c)
7/24
d)
25/7
43.
cos B = ?
a)
12/13
b)
12/5
c)
5/13
d)
5/12
44.
tan A = ?
a)
27/36
b)
36/27
c)
27/45
d)
36/45
45.
Find the exact value of x.
a)
2√5
b)
2√13
c)
10
d)
√10
46.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

47.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

48.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

49.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

50.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

51.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

52.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

53.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

54.

ข้อใดคือค่าของ Sin60°

a)

1/2

b)

√2/2

c)

√3/2

d)

1/√3

55.

Tan45°

a)

1

b)

√3

c)

1/√3

d)

√3/2

56.

Cosec30°

a)

1/2

b)

2/√3

c)

√3/2

d)

2

57.

Sec 60°

a)

2

b)

√3/2

c)

2/√3

d)

2/√2

58.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
59.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
60.

¿Cuál es el valor en radianes de 30º?

a)

π/4

b)

π/5

c)

π/2

d)

π/6

61.

¿Cuál es el valor en grados de π?

a)

360º

b)

108º

c)

180

d)

Ninguna es correcta

62.

El coseno de 60 es

a)

0

b)

-1/2

c)

√2/3

d)

1/2

63.

¿En qué cuadrante dibujamos 237º?

a)

1º

b)

2º

c)

3º

d)

4º

64.

π/12 radianes son

a)

21º

b)

14º

c)

12º

d)

Ninguna es correcta

65.

¿Cuál es la inversa del coseno?

a)

Cosecante

b)

Secante

c)

Las dos son correctas

66.

La cotangente de Β es :

a)

1/tgB

b)

tgB/1

c)

Ninguna es correcta

d)

tgB+1

67.

Para calcular las razones trigonométricas de un ángulo de 45º partimos de un

a)

Cuadrado de lado √2

b)

Las dos del cuadrado son correctas.

c)

Triángulo isósceles

d)

Cuadrado de lado uno

68.

El seno de 60º es

a)

El doble del seno de 30º

b)

El seno de 30º

c)

Ninguna es correcta

69.

¿Cuánto vale el seno al cuadrado más el coseno de un ángulo?

a)

Ninguna es correcta

b)

-1

c)

1

d)

Tangente al cuadrado

70.

¿Cuántas relaciones trigonométricas hemos visto en clase?

a)

4

b)

7

c)

5

d)

6

71.

La tangente al cuadrado de un ángulo más uno es:

a)

La secante al cuadrado de ese ángulo.

b)

Uno partido por el coseno al cuadrado.

c)

Ambas son correctas.

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