Free Printable Ch 8 Right Triangles and Trigs Review

1.

What is the value of x to the nearest hundredth?

a)

960

b)

30.98

c)

43.91

d)

14.24

2.

What is the value of x?

a)

9.17

b)

98.13

c)

0.11

d)

26.69

3.

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

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

4.

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

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

5.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

6.

What is the value of x?

a)

18√2

b)

18

c)

2√9

d)

9√2

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

10.

Which set of sides would make a right triangle? $c^2=a^2+b^2$

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

11.

Simplify $\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$8\sqrt{2}$

e)

None of these

12.

Simplify $\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

e)

None of these

13.

Find a.

a)

3

b)

$3\sqrt{3}$

c)

6

d)

$\sqrt{3}$

14.

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

a)

8√2

b)

4√2

c)

4

d)

8

15.

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

16.

What are u and v in this 30-60-90 triangle?

a)

v = 2√3 u = 6

b)

v = 4 u = 4√3

c)

v = 4 u = 4√2

d)

v = 4√3 u = 8√3

17.

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

a)

4√2

b)

4

c)

8

d)

4√3

18.

Rationalize the denominator:
$\frac{7\sqrt{3}}{\sqrt{10}}$

a)

$\frac{70\sqrt{3}}{10}$

b)

$\frac{7\sqrt{3}}{100}$

c)

$\frac{7\sqrt{30}}{10}$

d)

$7\sqrt{3}$

19.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

20.

In simplest radical form,
√80 is equivalent to

a)

16√5

b)

2√20

c)

4√5

d)

8√5

21.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

22.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

23.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

24.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

25.

Find sinC

a)

21/35

b)

28/21

c)

35/28

d)

28/35

26.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

27.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

28.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

29.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

30.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

31.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

32.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

33.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

34.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

35.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

36.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

37.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

38.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

39.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

40.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

41.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

a)

b)

c)

d)

42.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

a)

45.02 ft

b)

55.53 ft

c)

50.2 ft

d)

48.14 ft

43.

Find the length of Side BC. (Hint: Law of Sine)

a)

33

b)

24

c)

12

d)

29

44.

Find the length of side AB. (Hint: Law of Sine)

a)

10

b)

8

c)

6.1

d)

4.9

45.

What is the measure of angle A? (Hint: Law of Sine)

a)

$58\degree$

b)

$61\degree$

c)

$78\degree$

d)

$74\degree$

46.

Find the length of side AC. (Hint: Law of Sine)

a)

12

b)

10

c)

23

d)

14

47.

What is the measure of angle A?(Hint: Law of Sine)

a)

$50\degree$

b)

$60\degree$

c)

$78\degree$

d)

$74\degree$

48.

Identify the Law of Sines

a)

$\frac{a}{\sin\left(A\right)}=\frac{b}{\sin\left(B\right)}=\frac{c}{\sin\left(C\right)}$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

49.

Find x, the measure of the angle.(Hint: Law of Sine)

a)

52

b)

33

c)

41

d)

29

50.

find X. (Hint: Law of Sine)

a)

52

b)

33

c)

41

d)

29

51.

Solve for x. (Hint: Law of Sine)

a)

21.4

b)

32.2

c)

34.5

d)

41.6

52.

Choose the correct ratio.

a)

$\sin\left(Z\right)=\frac{5}{13}$

b)

$\sin\left(X\right)=\frac{5}{13}$

c)

$\cos\left(X\right)=\frac{13}{12}$

d)

$\tan\left(Z\right)=\frac{13}{12}$

53.

solve for c

a)

7

b)

9

c)

4

d)

13

54.

Set up the problem.

a)

$\sin\left(47\degree\right)=\frac{x}{28}$

b)

$\cos\left(47\degree\right)=\frac{x}{28}$

c)

$\tan\left(47\degree\right)=\frac{x}{28}$

d)

$\cos\left(47\degree\right)=\frac{28}{x}$

Ch 8 Right Triangles and Trigs Review

Total questions: 54

Worksheet time: 5hrs 26mins

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