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Find the Tangent of an Acute Angle

Total questions: 27

Worksheet time: 2hrs 45mins

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.

Tangent is the ratio of the...

a)

...the opposite side to the adjacent side for a given angle measurement.

b)

...the adjacent side to the opposite side for a given angle measurement.

c)

...the adjacent side to the hypotenuse for a given angle measurement.

d)

...the opposite side to the hypotenuse for a given angle measurement.

9.

tan (10) ≈

a)

0.176

b)

0.268

c)

0.364

d)

0.577

10.

tan (30) ≈

a)

0.176

b)

0.268

c)

0.364

d)

0.577

11.

tan (45) ≈

a)

0.839

b)

1

c)

1.192

d)

1.428

12.

tan (60) ≈

a)

1.192

b)

1.428

c)

1.732

d)

2.145

13.

tan (85) ≈

a)

10.02

b)

10.39

c)

10.78

d)

11.43

14.

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

a)

tan (55) = d / 500

b)

tan (55) = 500 / d

15.

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

a)

tan (35) = 500 / d

b)

tan (35) = d / 500

16.

Solve the ratios tan (55) = d / 500 and tan (35) = 500 / d

a)

350.1 meters

b)

688.2 meters

c)

714.1 meters

d)

741.3 meters

17.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
18.
Find x. 
a)
46.1
b)
4.90
c)
16.4
d)
26.9
19.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
20.
a)
35/21
b)
21/28
c)
35/28
d)
28/21
21.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
22.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
23.
Find the mistake
a)
tan 68 should be cos 68
b)
there is no mistake
c)
they should have divided 
d)
x/14 should be 14/x
24.

What is the ratio for tangent?

a)

opposite/adjacent

b)

adjacent/hypotenuse

c)

hypotenuse/adjacent

25.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
26.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
27.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right