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Test Review:Right Triangles and Trigonometry

Total questions: 38

Worksheet time: 3hrs 38mins

Name
Class
Date
1.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

2.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√22

b)

22√4

c)

√250

d)

√88

3.
Solve for x. SIMPLIFY your radical answer completely.
a)
119
b)
√119
c)
13
d)
√13
4.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
5.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
6.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
7.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
8.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
9.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

10.

What type of triangle would the sides 5,6, and 10 create?

a)

Obtuse

b)

Right

c)

Acute

d)

Not a Triangle

11.

What type of triangle would the sides 1, 4, and 6 create?

a)

Acute

b)

Right

c)

Obtuse

d)

Not a triangle

12.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

13.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
14.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
15.
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 
16.
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
17.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
18.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

19.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
20.
What is the sum of the interior angles for a      24-gon
a)
3960
b)
360
c)
15
d)
4280
21.

If angle DGE is equal to 5x +10, find the value of x.

a)

7

b)

9

c)

11

d)

13

22.

ABCD is a parallelogram. Find the value of x. (Remember: Consecutive angles are supplementary.)

a)

11

b)

12

c)

13

d)

14

23.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
24.

Level 3

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

25.
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
26.

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

a)

24.5 ft

b)

25.5 ft

c)

26.5 ft

d)

23.5 ft

27.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
28.
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
29.

What type of triangle would the sides 3, 4, and 6 create?

a)

Acute

b)

Right

c)

Obtuse

d)

Not a triangle

30.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
31.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

32.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

33.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

34.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
35.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
36.
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 
37.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
38.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°

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