WorksheetsChapter 8 review
Total questions: 35
Worksheet time: 2hrs 47mins
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 x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
3.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
4.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
5.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
6.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
7.
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
8.
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
9.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
10.
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
11.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
12.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
13.
A triangle has the following side lengths:
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
a)
Acute
b)
Obtuse
c)
Right
14.
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
15.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
16.
a)
x=8√3 y=4√3
b)
x=4√3 y=8√3
c)
x=4 y=8
d)
x=8 y=4√3
17.
Solve for x. Round to the nearest tenth.
a)
14.2
b)
14.7
c)
21.2
d)
15.3
18.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
19.
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
20.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
21.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
22.
Which one is the easy way to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
23.
Solve for x. Round to the nearest tenth.
a)
9.5
b)
16.6
c)
26.5
d)
24.1
24.
Solve for x. Round to the nearest tenth.
a)
11.7
b)
19.7
c)
15.9
d)
16.4
25.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
26.
What is the correct equation?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
27.
What is the correct equation?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
28.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
29.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
30.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
31.
My dog, Stella, is playing in the park and sees a tree 100 m away. Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?
a)
32 m
b)
47 m
c)
15 m
d)
42 m
32.
Mary is using a ladder to hang lights up on her house. She places the ladder 5 feet from the base of her house and leans it so it reaches a window 14 feet above the ground. Find the angle the ladder makes with the house.
a)
19.7o
b)
70.3o
c)
69.1o
d)
20.9o
33.
Is this an angle of elevation or an angle of depression?
a)
Angle of Elevation
b)
Angle of Depression
c)
Neither
d)
Both
34.
The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees. The helicopter’s altitude is 1560 ft. What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.
a)
543 ft
b)
1756 ft
c)
4801 ft
d)
5404 ft
35.
Is this an angle of elevation or an angle of depression?
a)
Angle of elevation
b)
Angle of depression
c)
Neither
d)
Both
100 %
