Free Printable Test 7 Review - Special Right Triangles and Trig Ratios

1.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

2.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

3.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

4.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

5.

Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.

a)

10√3

b)

15

c)

5√3

d)

15√2

6.

Find a.

a)

3

b)

3√3

c)

6

d)

2√3

7.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

8.

Solve for the missing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

9.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

10.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

11.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

12.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

13.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

14.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

15.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

16.

Multiply $5\sqrt{2}\cdot\sqrt{2}$ .

(a)

17.

Divide $\frac{4}{\sqrt{3}}$

a)

$\frac{4\sqrt{3}}{3}$

b)

$\frac{4\sqrt{3}}{2}$

c)

$4\sqrt{3}$

18.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

19.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

20.

What is side c?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

21.

What is the measure of side c?

a)

7

b)

$\frac{7}{\sqrt{2}}$

c)

$7\sqrt{2}$

d)

14

22.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

23.

What is side a?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

24.

What is the measure of side b?

a)

5

b)

$\frac{10}{\sqrt{2}}$

c)

$5\sqrt{2}$

d)

$10\sqrt{3}$

25.

Find n.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

26.

Find the length of m.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

27.

What type of special right triangle is this?

a)

isosceles right

b)

30-60-90

c)

not a special right triangle

28.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

29.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

30.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

31.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

32.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

33.

Find sin C

a)

21/35

b)

28/21

c)

35/28

d)

28/35

34.

Find tanZ

a)

35/21

b)

21/28

c)

35/28

d)

28/21

35.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

36.

Which trig function would help you solve for the missing angle?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

37.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

38.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

39.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

40.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

41.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

42.

What is a in this 30-60-90 triangle?

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

43.

Which trigonometric ratio is correct?

a)

cosC= adj/hyp

b)

sinC= adj/hyp

c)

tanC= adj/hyp

d)

tanC=adj/opp

44.

Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)

a)

.9004

b)

.8123

c)

88.6361

d)

42

45.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

46.

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

47.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

48.

What is the value of x?

a)

960

b)

30.98

c)

43.91

d)

14.24

49.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

50.

What is the value of x?

a)

4.20

b)

7.32

c)

0.14

d)

4.91

51.

What is the value of x?

a)

25

b)

13.23

c)

5.36

d)

625

52.

What is the value of x?

a)

42.59

b)

0.03

c)

38.60

d)

8.39

53.

What is the value of x?

a)

6 < x < 30

b)

21.63

c)

13.42

d)

30 < x < 6

54.

Classify a triangle with side lengths 12, 14, and 20.

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

55.

Classify a triangle with side lengths 20, 25, and 15.

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

56.

A ladder is leaning against a house at an angle of 39 degrees. If the ladder is 12 ft. long, how far is the bottom of the ladder from the house? Round to the tenths.

a)

15.4 ft.

b)

9.3 ft.

c)

20.2 ft.

d)

5.3 ft.

57.

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

a)

134.4

b)

67.2

c)

95√2

d)

(95√2)/2

58.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

59.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

60.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

61.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

62.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

63.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

64.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

65.

A triangle's angles add up to...

a)

90 Degrees

b)

180 Degrees

c)

360 Degrees

d)

OVER 9000 Degrees

66.

To use the Pythagorean Theorem, we need...

a)

A triangle with 2 known angles

b)

A right triangle with 2 known angles

c)

A triangle with 2 known sides

d)

A right triangle with 2 known sides

67.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

68.

Solve the right triangle.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

69.

Solve the right triangle.

a)

<A = 34^o, <C = 56^o, AC = 5.59

b)

<A = 56^o, <C = 34^o, AC = 5.59

c)

<A = 34^o, <C = 56^o, AC = 9.01

d)

<A = 56^o, <C = 34^o, AC = 9.01

70.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

71.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

72.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

73.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is opposite the theta

d)

It is the bottom leg of the triangle

Test 7 Review - Special Right Triangles and Trig Ratios

Total questions: 73

Worksheet time: 3hrs 34mins

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