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Worksheets

Trigonometry

Total questions: 24

Worksheet time: 1hrs 12mins

Name
Class
Date
1.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
2.
Identify the hypotenuse.
a)
x
b)
z
c)
w
3.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
4.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place. 
a)
5.2 m
b)
5.3 m
c)
5.7 m
d)
5.8 m
5.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
6.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
7.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
8.
Identify the hypotenuse.
a)
x
b)
z
c)
w
9.

Calculate x

a)

11

b)

12

c)

9.8

d)

11.5

10.

Calculate x

a)

29.2

b)

14.2

c)

30

d)

32.2

11.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

12.
a)
21/35
b)
28/21
c)
35/28
d)
28/35
13.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
14.

Calculate the sin function

a)

14/48

b)

48/50

c)

14/50

d)

48/14

15.
Use the Law of Cosines to find the value of x. 
a)
41.7
b)
51.7
c)
61.7
d)
71.7
16.

Calculate the Tan function

a)

32/40

b)

40/24

c)

32/24

d)

24/32

17.
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
18.

What is the tangent ratio?

a)
b)
c)
19.
What is 90° in radians?
a)
1/2
b)
π/2
c)
2/3
d)
2π/3
20.
What is 135° in radians?
a)
3/4
b)
3π/4
c)
3/5
d)
3π/5
21.

 π\pi  What is the size of an angle represented by this symbol.

a)

180 °\degree   

b)

180

c)

360 °\degree  

d)

360

22.

 What is π2in degrees. What\ is\ \frac{\pi}{2}in\ \deg rees.\   

a)

 90°-90\degree   

b)

90

c)

 90°90\degree  

d)

-90

23.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
24.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3