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WorksheetsChapter 9 Review
Total questions: 40
Worksheet time: 7hrs 40mins
Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
3.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
4.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
5.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
6.
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
7.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
8.
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.
9.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
10.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
11.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
12.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
13.
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
14.
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
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.
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
17.
I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?
a)
Divide 8 by √3
b)
Divide 8 by 2
c)
Divide 8 by 2, then multiply that answer by √2
d)
Divide 8 by √3, then multiply that answer by 2
18.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
19.
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 = 3√3 y = 3√2
20.
Find x.
a)
10
b)
20
c)
10√3
d)
√3
21.
What is the measure of side b?
a)
5
b)
10√2
c)
5√2
d)
10√3
22.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
23.
Find n.
a)
4
b)
6
c)
12
d)
2√3
24.
Find the length of m.
a)
4
b)
6
c)
12
d)
2√3
25.
What is the value of y?
a)
3√2
b)
4√3
c)
6
d)
1
26.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
27.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
28.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
29.
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
30.
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
31.
Find cosC
a)
16/34
b)
16/30
c)
30/34
d)
34/16
32.
Solve for x.
a)
21.2
b)
81.7
c)
5.9
d)
5.7
33.
Solve for x.
a)
31.2
b)
5.6
c)
14.6
d)
6.2
34.
What is the value of x?
a)
9.17
b)
98.13
c)
0.11
d)
26.69
35.
What is the value of x?
a)
4.20
b)
7.32
c)
0.14
d)
4.91
36.
Solve for the missing angle.
a)
32°
b)
44°
c)
61°
d)
50°
37.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
38.
Choose the correct ratio.
a)
sin-1(9/20)
b)
cos-1(9/20)
c)
tan-1(9/20)
d)
cos-1(20/9)
39.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
40.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
33°
b)
49°
c)
39°
d)
41°
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