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Unit 5 Right Triangles and Trigonometry Test Study

Total questions: 50

Worksheet time: 3hrs 2mins

Name
Class
Date
1.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

2.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
3.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
4.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

5.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

6.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
7.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

8.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

9.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

10.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

11.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

12.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

13.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
14.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
15.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
16.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

17.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

18.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
19.
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
20.
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 
21.
A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
22.
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
23.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
24.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
25.
Find the value of y to the nearest tenth.
a)
4.5
b)
3.2
c)
2.3
d)
5
26.
Find the value of y.
a)
7
b)
7√3
c)
14√3
d)
(14√3)/3
27.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
28.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
29.
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
30.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
31.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
32.

Sides a and b are called legs.

a)

true

b)

false

33.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

34.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
35.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
36.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
37.
solve for c
a)
7
b)
9
c)
4
d)
13
38.
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
39.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
40.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
41.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
42.
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
43.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
44.
What is the longest side of a right triangle?
a)
Legs
b)
Hypotenuse
c)
Long Side
d)
Short side
45.
What is the sine of angle C?
a)
7/24
b)
7/25
c)
24/25
d)
25/24
46.
What is the cosine of θ?
a)
15/8
b)
15/17
c)
17/15
d)
8/15
47.
What is the tangent of angle C?
a)
7/25
b)
25/7
c)
7/24
d)
24/7
48.
What is the tangent of angle C?
a)
7/25
b)
25/7
c)
7/24
d)
24/7
49.
If tanθ = 3/4, what is cosθ?
a)
3/5
b)
4/5
c)
4/3
d)
not enough information
50.
If the sinθ=7/12, what is cosθ?
a)
12√95/95
b)
12/95
c)
12/√95
d)
√95/12

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