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8-2: Specials and SOH-CAH-TOA

Total questions: 20

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
2.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
3.
Find x.
a)
22
b)
11√3
c)
11√2
d)
11
4.
Find a.
a)
12
b)
24
c)
24√3
d)
16
5.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
6.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
7.
Which trig function would you use with this diagram?
a)
Sin
b)
Cos
c)
Tan
d)
Wha??
8.
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
9.
Which is the correct ratio?
a)
sin 28 = x/14
b)
cos 28 = x/14
c)
tan 28 = x/14
d)
tan 28 = 14/x
10.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

11.

FInd tan X

a)

32/40

b)

40/24

c)

32/24

d)

24/32

12.
What does SOH stand for
a)
hypotenuse over opposite
b)
adjacent over opposite
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
13.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

14.

Enter the ratio that represents oppositehypotenuse\frac{opposite}{hypotenuse}

15.
Question Image

Match the following

a)

Sin Z

1.

941\frac{9}{41}

b)

Cos Z

2.

4041\frac{40}{41}

c)

Tan Z

3.

940\frac{9}{40}

d)

Tan X

4.

409\frac{40}{9}

16.
Question Image

Match the following

a)

Sin X

1.

45\frac{4}{5}

b)

Cos X

2.

35\frac{3}{5}

c)

Tan X

3.

43\frac{4}{3}

d)

Tan Z

4.

34\frac{3}{4}

e)

Average lifespan of a Whale Shark

5.

About 100 years although estimates vary.

17.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
18.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
19.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
20.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9