WorksheetsGeometry Chapter 8
Total questions: 20
Worksheet time: 2hrs 10mins
Name
Class
Date
1.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
2.
Find the value of x.
a)
2√5
b)
3√5
c)
4√5
d)
10√5
3.
State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in
7 in, 11 in, 13 in
a)
acute
b)
obtuse
c)
right
4.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi
6 mi, 14 mi, 17 mi
a)
acute
b)
obtuse
c)
right
5.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
6.
What is the measure of side b?
a)
5
b)
10√2
c)
5√2
d)
10√3
7.
What is the measure of a?
a)
3
b)
3√3
c)
6
d)
3√2
8.
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
9.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
10.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
11.
Which is the correct set up to solve for x?
a)
sin 24 = x / 12
b)
cos 24 = x / 12
c)
tan 24 = x / 12
12.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
13.
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
14.
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
15.
Choose the correct ratio.
a)
sin-1(9/20)
b)
cos-1(9/20)
c)
tan-1(9/20)
d)
cos-1(20/9)
16.
Solve for m∠S.
a)
21
b)
69
c)
23
d)
67
17.
Find the measure of the indicated angle.
a)
6∘
b)
20∘
c)
43∘
d)
47∘
18.
A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
a)
66 degrees
b)
80 degrees
c)
30 degrees
d)
19 degrees
19.
From a point on the ground 25 feet from the foot of a tree, the angle of elevation of the top of the tree is 32 degrees. Find the height of the tree to the nearest foot.
a)
18 feet
b)
21 feet
c)
16 feet
d)
13 feet
20.
A lookout spots a fire from a 32 meter tower. The angle of depression from the tower to the fire is 13 degrees. To the nearest meter, how far is the fire from the base of the tower?
a)
142 meters
b)
139 meters
c)
33 meters
d)
31 meters
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