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Maths Quest General Mathematics
Chapter 15 Trigonometric ratios and their applications Test Yourself
1
Trigonometric ratios and their applications Test Yourself
Name: ___________________________
All Multiple Choice
1
Which of these triangles is incorrectly
labeled?
A
2
Which of these statements can be used
to find the value of x?
B
A
B
C
C
D
E
3
D
E
x = 8  sin 32°
x = 8  cos 32°
8
x=
cos 32
x = 8  tan 32°
8
x=
tan 32
The exact value of sin 60° is:
3
A
B
2
2
C
2
2
D
3
E
3
2
Maths Quest General Mathematics
4
Chapter 15 Trigonometric ratios and their applications Test Yourself
The bearing of town B from town A is
050°T. What is the bearing of town A
from town B?
7
Which of these can be used to find the
value of ?
A
B
A
B
C
D
E
5
6
050°T
040°T
130°T
220°T
230°T
A ship sails 30 km in a direction of
N48°W. What is its distance directly
west of the starting point?
A 30  sin 48°
B 30  cos 48°
C 30  tan 48°
D 30  sin 42°
E 30  cos 42°
The direction S30°W is same as:
A 030°T
B 120°T
C 210°T
D 300°T
E 330°T
C
D
E
8
9  sin 35
6
6  sin 35
sin  
9
2
6  92  22
cos  
269
6
cos  
9
none of these.
sin  
Which of these can be used to find the
value of side a?
A
B
C
D
E
a2 = 72  102  (2  7  10  cos 41°)
a2 = 72  102
a2 = 72  102  (2  7  10  cos 41°)
7  sin 41
10
a = 7  tan 41°
a
2
Maths Quest General Mathematics
9
If the value of sin  =
Chapter 15 Trigonometric ratios and their applications Test Yourself
5
, then the area
8
12
of the triangle is:
A
B
C
D
E
10
11
27 cm2
55 cm 2
88 cm2
110 cm2
176 cm2
A
B
Using Heron’s formula, the area of
triangle with sides 6 cm, 7 cm and 9 cm,
to the nearest cm2, is:
A 11
B 21
C 22
D 261
E 440
The exact radian measure of 30° is:

A
6

B
3
C 3
D 6
E none of these.
The exact length of arc which subtends
an angle of 60° at the centre of the
circle with radius 8 cm is:
C
D
E
13

cm
3
3
cm
8
8
cm
3
3
cm
4
4
cm
3
The area of the sector with radius 9 cm
and a subtended angle of 45° is:
81
A
8
81
B
4
9
C
8
D 9
E 81
3
Maths Quest General Mathematics
14
The area of the shaded segment is given
by:
A
B
C
D
E
15
Chapter 15 Trigonometric ratios and their applications Test Yourself
8 

1 3
1 82 
 
2 1 3
1 82    
   sin  
2 1 
3 3
2
1 8 

    sin 
2 1 3
3
none of these.
16
tan  is equal to:
A 1
cos 
B
sin 
C sin2  cos2
D sin  cos 
sin 
E
cos 
17
Which is the angle in radians moved by
the hour hand of a clock in 1 hour?

A
12

B
6

C
3

D
4

E
2
18
The value of sin2 200°  cos2 200° is:
A 0
B 0.1
C 0.5
D 1
E 200
19
A clock has a minute hand 70 cm long.
The area that it sweeps when passing
through 51 minutes, correct to 2
decimal places is:
A 1.31 m2
B 0.16 m2
C 0.22 m2
D 0.45 m2
E 11.0 m2
A ladder 8 m long leans against a wall 5
m high. Which can be used to work out
the angle the ladder makes with the
wall?
A
B
C
D
E
5
8
5
cos 
8
5
tan  
8
8
sin  
5
8
cos 
5
sin  
4
Maths Quest General Mathematics
20
Chapter 15 Trigonometric ratios and their applications Test Yourself
The area of the shaded region to the
nearest cm2 is:
A
B
C
D
E
600 cm2
677 cm2
766 cm2
800 cm2
none of these.
..\Test yourself answers\Year 11GM Ch15 TYA.doc
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