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Name: ________________
Mark:_______/50
Trigonometry Test (modified)
Multiple choices: 1 mark each
Question 1
The value of 27.2o in degrees and minutes is:
A 27o 2'
B 27o 20'
C 27o 12'
D 27o 40'
E 27o 80'
Question 2
5
a
2
For the triangle above, the trigonometry ratio used to find a is:
O
A sin a 
H
O
B cos a 
H
A
C cos a 
H
O
D tan a 
A
A
E sin a 
H
Question 3
cos 61o19' is closest to:
A 0.877
B -0.071
C 0.482
D 0.056
E 0.480
Question 4
The correct length, to two decimal places, of the side marked x is:
25o
15
x
A 13.6
B 7.0
C6
D 2.8
E 6.3
Question 5
If sin a = 0.9418, a, to the nearest minute, is:
A 70o36'
B 19o64'
C 70o21'
D 19o39'
E 0o01'
Question 6
The size of the angle marked b is:
6
b
4
A 41o48'
B 33.7o
C 48o19'
D 33o41'
E 48o11'
Question 7
The conventional bearing N35o is the same as:
A 235To
B 325To
C 35To
D 215To
E 145To
Question 8
24o
12
x
x is equal to:
A 6.57
B14.75
C 13.14
D 29.50
E 5.48
Question 9
The length of the diagonal in this triangle is:
25m
58o
A 47.18m
B 13.25m
C 29.48m
D 21.20m
E 40.01m
Question 10
The height of the flag pole is nearest to:
26m
10o48'
A 4.96m
B 138.75m
C 4.87m
D 25.54m
E 8.64m
Short Answers:
1) Using your calculator, find the value of the following to 2 decimal places
i) cos30o
v) cos90o
ii) sin60o
iii) tan30o
iv) sin120o
5 marks
2) Find θ in each of the following to 2 decimal places
i) cos θ = 0.8526
ii) sin θ = 0.7619
iv) tan θ = 2.531
v) cos θ = 0.4415
iii) sin θ = 0.1795
5 marks
3) Find θ in each of the following triangles in degrees, minutes and seconds
i)
ii)
iii)
4
20
15
θ
θ
θ
25
30
13
6 marks
4) Find the length labeled a in the triangle below
i)
a
ii)
7
a
30o
33o
7
4 marks
5) Write down a) the true bearing b) the conventional bearing of the following points
from O.
i)
ii)
N
N
45o
O
O
iii)
iv)
N
80o
N
O
30o
O
40o
Challenging questions
6) Jack travel 75m in the direction of N62oW of his house, How far directly west is he
from his house?
3 marks
7) The line from each vertex to the midpoint of the opposite side in the triangle is 30cm
long. How long is each side of the equilateral triangle?
4 marks