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Tangent Ratio

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
2.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
3.
What side does x represent?
a)
hypotenuse
b)
right angle
c)
adjacent
d)
opposite
4.
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
5.

What is the tangent ratio?

a)
b)
c)
6.

What is the tangent ratio for Angle A?

a)

BC/AC (BC over AC)

b)

AB/BC (AB over BC)

c)

AC/BC (AC over BC)

7.
a)
20
b)
5.9
c)
33
d)
42
8.

tan (10) ≈

a)

0.176

b)

0.268

c)

0.364

d)

0.577

9.

tan (30) ≈

a)

0.176

b)

0.268

c)

0.364

d)

0.577

10.

tan (45) ≈

a)

0.839

b)

1

c)

1.192

d)

1.428

11.

tan (60) ≈

a)

1.192

b)

1.428

c)

1.732

d)

2.145

12.

tan (85) ≈

a)

10.02

b)

10.39

c)

10.78

d)

11.43

13.

Using the angle of 55°, which tangent ratio can find the depth "d"?

a)

tan (55) = d / 500

b)

tan (55) = 500 / d

14.

Using the angle of 35°, which tangent ratio can find the depth "d"?

a)

tan (35) = 500 / d

b)

tan (35) = d / 500

15.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
16.
Find x. 
a)
46.1
b)
4.90
c)
16.4
d)
26.9
17.

Locate the Opposite side of angle A.

a)

Side c

b)

side b

c)

side a

18.

Locate the side adjacent to Angle A excluding the hypotenuse.

a)

side a

b)

side b

c)

side c

19.
a)
35/21
b)
21/28
c)
35/28
d)
28/21
20.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
21.
a)
32/40
b)
40/24
c)
32/24
d)
24/32
22.

Solve for the missing angle.

a)

33°

b)

64°

c)

52°

d)

35°

23.

Solve for missing angle (?)

a)

A

b)

B

c)

C

d)

D

24.

Solve for missing angle (?)

a)

A

b)

B

c)

C

d)

D

25.

Solve for x

a)

A

b)

B

c)

C

d)

D