Free Printable Unit 4 Rt Triangles and Trig Review

1.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

2.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

3.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

4.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

5.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

6.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

7.

Is this a right triangle?

a)

whatever that means

b)

no

c)

what is that

d)

yes

8.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

9.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

10.

What is the value of f?

a)

20

b)

15

c)

25

d)

50

11.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

12.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

13.

Find the value of y.

a)

5

b)

10√30

c)

√300

d)

10√3

14.

Find the value of y.

a)

4

b)

2√6

c)

6√2

d)

12

15.

Find the value of x.

a)

2√7

b)

7√2

c)

√28

d)

28

16.

x=?

a)

3

b)

5

c)

4

d)

6

17.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

18.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

19.

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

a)

sine

b)

cosine

c)

tangent

20.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

21.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

26.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

27.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

28.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

29.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

30.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

31.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

32.

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

33.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

34.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

35.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

36.

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

37.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

38.

Which side is opposite angle x?

a)

1

b)

2

c)

3

39.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

40.

Which trig function would you use to solve for x?

a)

$\sin37=\frac{11}{x}$

b)

$\cos37=\frac{11}{x}$

c)

$\tan37=\frac{11}{x}$

41.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

42.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

43.

When working with Trig ratios, Law of Sines, or Law of Cosines the calculator should be in what mode?

a)

Radian

b)

Classic

c)

Degree

d)

Triangle

44.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

45.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

46.

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?

47.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

48.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

49.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

50.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

51.

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

a)

4√2

b)

4

c)

8

d)

4√3

52.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

53.

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

a)

8√2

b)

4√2

c)

4

d)

8

54.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

55.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

56.

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

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

57.

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

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

58.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

59.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

60.

Find x.

a)

45°

b)

90°

c)

30°

d)

60°

61.

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

(a)

62.

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

a)

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

b)

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

c)

$4\sqrt{3}$

63.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

64.

What is side c?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

65.

What is side b?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

66.

How long is side c?

a)

1

b)

2

c)

$\sqrt{2}$

d)

$\sqrt{3}$

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

Rationalize the denominator.
$\frac{\sqrt{4}}{\sqrt{5}}$

a)

$\frac{\sqrt{10}}{5}$

b)

$\frac{2\sqrt{5}}{5}$

c)

$\frac{\sqrt{5}}{2}$

d)

$\frac{\sqrt{15}}{3}$

Unit 4 Rt Triangles and Trig Review

Total questions: 71

Worksheet time: 5hrs 5mins

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