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WorksheetsCh. 7 Review
Total questions: 33
Worksheet time: 3hrs 9mins
Name
Class
Date
1.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
2.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
3.
Simplify (√5)²
a)
√5
b)
5
c)
25
d)
2√5
4.
Simplify (2√7)²
a)
14
b)
98
c)
28
d)
7
5.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
6.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
7.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
8.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
9.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
10.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
11.
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
12.
If the sides of a triangle are 7, 24, and 25, is it a right triangle?
a)
yes
b)
no
13.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
14.
Find the area of the triangle (Hint: Use Pythagorean theorem to find height/base)
a)
67.9 cm²
b)
22.6 cm²
c)
45.3 cm²
d)
50.6 cm²
15.
Find x. (Use Special Right Triangles)
a)
12
b)
√2
c)
√3
d)
6
16.
Find x - (Use Special Right Triangles)
a)
5
b)
5√2
c)
10
d)
5√3
17.
Find the value of x. (Use Special Right Triangles)
a)
18
b)
18√3
c)
36√3
d)
12
18.
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
19.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
20.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
21.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
22.
What is the ratio of Sin <D?
a)
sin<D = 4/5 = .8
b)
sin<D = 3/5=.6
c)
sin<D = 5/4 =1.25
d)
sin <D = 5/3 = 1.7
23.
What is the ratio of Cos <E?
a)
Cos<E = 5/4 =1.25
b)
Cos<E = 3/5 =.6
c)
Cos<E = 4/5 =.8
d)
Cos<E = 3/4 =.75
24.
What is the ratio of tan <E?
a)
tan<E = 5/4 =1.25
b)
tan<E = 3/5 =.6
c)
tan<E = 4/5 =.8
d)
tan<E = 3/4 =.75
25.
Which trigonometric ratio you should use to find the height(h)?
a)
sin 60 = h/1000
b)
cos 60 = h / 1000
c)
cos 60 = 1000/h
d)
tan 60 = h / 1000
26.
Find the height(h)?
a)
2000ft
b)
50 ft
c)
500 ft
d)
1732.05ft
27.
Find side AB? (Hint: Use Trig)
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
28.
Find side c? (Hint: Use Trig)
a)
10
b)
8.08
c)
14
d)
12.12
29.
Find side a? (Hint: Use Trig)
a)
10
b)
8.08
c)
14
d)
12.12
30.
Find <B? (Hint: Use Inverse Trig)
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
31.
Find <A? (Hint: Use Inverse Trig)
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
32.
Solve for x. (Hint: Use Trig)
a)
50.7
b)
50.1
c)
60.7
d)
61.0
33.
Solve for the missing angle. (Hint: Use Inverse Trig)
a)
32°
b)
44°
c)
61°
d)
50°
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