Free Printable Geometry & Trigonometry

1.

ข้อใดคืออัตราส่วนของ Cosine

a)

hyp/adj

b)

adj/opp

c)

opp/hyp

d)

adj/hyp

2.

ข้อใดคืออัตราส่วนของ Tangent

a)

opp/adj

b)

adj/hyp

c)

adj/opp

d)

opp/hyp

3.

ข้อใดคืออัตราส่วนของ Sine

a)

adj/hyp

b)

opp/hyp

c)

adj/opp

d)

opp/adj

4.

ข้อใดคืออัตราส่วนของ Sineθ

a)

4/5

b)

3/5

c)

5/3

d)

5/4

5.

ข้อใดคืออัตราส่วนของ Cosine θ

a)

13/15

b)

5/13

c)

5/12

d)

12/13

6.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

7.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

8.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

9.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

10.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

11.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

12.

a)

18.9

b)

19.5

c)

47

d)

27.5

13.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

14.

Find h₂

a)

16.73 ft

b)

22.51 ft

c)

18.59 ft

d)

20.79 ft

15.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

16.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

17.

Find the missing value.

Round to the nearest tenths.

a)

52.1^o

b)

37.9^o

c)

52.1 cm

d)

50.6 cm

18.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

19.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

20.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

21.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

22.

What is the length of the side adjacent to ∠Z?

a)

16

b)

30

c)

34

23.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

24.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

25.

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

26.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

27.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

28.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

29.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

30.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

31.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

32.

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

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

33.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

34.

The length across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

35.

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

36.

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

37.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

38.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

39.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

40.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

41.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

42.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

43.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

44.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

45.

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?

46.

What is tan 45⁰?

a)

1

b)

2

c)

0.5

d)

0.75

47.

What is cos 47⁰ ?

a)

0.73

b)

0.28

c)

0.68

d)

answer not shown

48.

Find x if sin 22^o = 2/x.

a)

6.78

b)

0.75

c)

2.14

d)

5.34

49.

Write sin 62^o in terms of cos.

a)

cos 28^o

b)

cos 62^o

c)

cos 118^o

d)

cos 38^o

50.

In right triangle ABC, ∠A and ∠B are complementary angles. The value of cos A = 5/13. What is the value of sin B?

a)

5/13

b)

12/13

c)

13/12

d)

13/5

51.

Find cos 58.4 to the nearest hundredth?

a)

.52

b)

.85

c)

.16

d)

.54

52.

Find tan 89 to the nearest hundredth?

a)

.54

b)

1

c)

.02

d)

57.29

53.

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

54.

What is the ratio of tan <B?

a)

tan<B = 3/2 =1.5

b)

tan<B = 2/3 =.6

c)

tan<B = 2/3.6 =.55

d)

tan<B = 3.6/3 =1.2

55.

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

56.

What information has been given here?

a)

SSS

b)

SAS

c)

AAS

d)

SSA

57.

What information has been given here?

a)

SSS

b)

SAS

c)

AAS

d)

SSA

58.

What information has been given here?

a)

SSS

b)

SAS

c)

AAS

d)

SSA

59.

What rule should you use?

a)

Sine

b)

Cosine

60.

What rule should you use?

a)

Sine

b)

Cosine

61.

What rule should you use?

a)

Sine

b)

Cosine

62.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

63.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

64.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

65.

When using the sine rule how many parts (fractions) do you need to equate?

a)

All 3 parts

b)

1 part

c)

2 parts

66.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

67.

Which rule can be used directly for this triangle?

a)

The Sine Rule

b)

The Cosine Rule

c)

The Area of a Triangle

d)

Pythagoras' Theorem

68.

Adjacent, Opposite and Hypotenuse are the three angles of a triangle.

a)

True

b)

False

69.

The hypotenuse is always opposite the right angle.

a)

True

b)

False

70.

The sine rule and cosine rule uses right-angled triangles.

a)

True

b)

False

71.

The opposite and adjacent always depends on the angle’s position.

a)

True

b)

False

72.

When deciding on whether to use the Sine, Cosine or Tangent ratio, you must look at what is given and what is required to find on the triangle.

a)

True

b)

False

73.

When using the sine ratio, the sides that must be involved are the adjacent and the hypotenuse.

a)

True

b)

False

74.

Sine, cosine and tangent are used to calculate both sides and angles.

a)

True

b)

False

75.

The cosine rule must be used only when all sides are known in a Non-right angled triangle.

a)

True

b)

False

76.

The sine rule is only used when there is a side and its opposite angle along with another side or angle on a non-right angled triangle.

a)

True

b)

False

77.

The formula a² = b² + c² – 2bcCosA, is the template for the Cosine Rule.

a)

True

b)

False

78.

On your calculator, to find the inverse of an angle, you first must press the shift button or 2nd function, then the ratio.

a)

True

b)

False

79.

A non-right angled triangle has 180˚

a)

True

b)

False

80.

Pythagoras’ theorem can be used to find a missing angle in a right-angled triangle.

a)

True

b)

False

81.

Find the missing side x

a)

60.5mm

b)

10.3mm

c)

30.1mm

d)

58.1mm

82.

Find the missing angle θ

a)

68^o

b)

133^o

c)

116^o

d)

121^o

83.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

84.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

85.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

86.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

87.

Solve for x.

a)

16

b)

11

c)

50

d)

6

88.

If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

89.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

90.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

45, 45, 90

c)

60, 60, 60

d)

35, 55, 90

91.

Which pair of angles is an example of corresponding angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

92.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

93.

Find $m\angle1.$

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

94.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

95.

Which statement is NOT true?

a)

Parallel lines have the same slope.

b)

Parallel lines intersect at one point.

c)

Perpendicular lines form a right angle.

96.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

97.

How many sides does a Quadrilateral have?

a)

4

b)

3

c)

6

d)

9

98.

How many sides does an Octagon have?

a)

4

b)

3

c)

9

d)

8

99.

Find the value of x

a)

141

b)

150

c)

135

d)

163

100.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

101.

Find the value of y.

a)

110

b)

90

c)

130

d)

120

102.

Three of the angles in a quadrilateral have a sum of 252^o. What is the measure of the fourth angle?

a)

108^o

b)

360^o

c)

72^o

d)

56^o

103.

Find x.

a)

35

b)

20

c)

8

d)

12

104.

a)

11

b)

12

c)

9.8

d)

11.5

105.

Which of the following are not right angled triangled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

d)

37cm, 35cm, 48cm

106.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

107.

PQ is the base of a right angled triangle... RQ is the height of the right angled triangle... Then, determine the hypotenuse of the right angled triangle.

a)

PQR

b)

RQP

c)

QP

d)

PR

108.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

109.

Round to the nearest hundredth.

a)

5.57

b)

10.63

c)

5.32

d)

9

110.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

111.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

112.

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

a)

9 feet

b)

6 feet

c)

6.7 feet

d)

9.7 feet

113.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

e)

Acute-angled triangle

114.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

115.

What relationship exists between angles 2 and 3

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

116.

Which Angles are Vertical Angles?

a)

$\angle5\ and\ \angle3$

b)

$\angle2\ and\ \angle4$

c)

$\angle1\ and\ \angle4$

d)

$\angle6\ and\ \angle4$

117.

Which best describes the relationship between angles 7 and 8?

a)

Corresponding angles

b)

Same Side Interior Angles

c)

Same Side Exterior angles

d)

Supplementary Angles

118.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

119.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

120.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

Geometry & Trigonometry

Total questions: 120

Worksheet time: 7hrs 34mins

Similar Resources on Wayground