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Worksheets

Stage 3 Right Triangles

Total questions: 24

Worksheet time: 1hrs 18mins

Name
Class
Date
1.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
2.
What is the height of the tree? Round the the nearest foot. 
a)
38 ft
b)
63 ft
c)
20 ft
d)
98 ft
3.
Find the measure of the missing angle. Round to the nearest degree. 
a)
49o
b)
50o
c)
41o
d)
33o
4.
What is the value of d? Round to the nearest tenth of a meter. 
a)
18.9 m
b)
19.5 m
c)
47 m
d)
27.5 m
5.
Find the length of x. Round the nearest tenth. 
a)
46.1
b)
4.9
c)
16.4
d)
26.9
6.
The 3 sides, with respect to angle A are :
a)
Hypotenuse = 5
Adjacent Leg = 3
Opposite Leg = 4
b)
Hypotenuse = 5
Adjacent Leg = 4
Opposite Leg = 3
c)
Hypotenuse = 3
Adjacent Leg = 4
Opposite Leg = 5
d)
Hypotenuse = 3
Adjacent Leg = 5
Opposite Leg = 4
7.
What is the ratio for Sine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg /  Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Adjacent Leg / Opposite Leg
8.
What is sin-1(1/2)?
a)
150
b)
120
c)
60
d)
30
9.

What are the 3 basic trig functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

10.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

11.
a)

12.45

b)

27.45

c)

3.9

d)

45.89

12.
a)

B= 52.4; a= 13.52, c=8

b)

B=48.5 a= 12.58 c= 12.45

c)

B= 52.4 a= 15.24 c=12.5

d)

B=48.5; a=17.69;,;c= 26.70

13.
a)

42

b)

32

c)

58

d)

34

14.
a)

152

b)

260

c)

544

d)

322

15.

What is the main difference between magnitude of the angle and size of the angle?

a)

Magnitude is represented in sexagesimal system and size is represented in degrees.

b)

Size is represented in sexagesimal system and magnitude is represented in decimals.

c)

Size is represented in decimal system and magnitude is represented in sexagesimal system.

d)

Both of them are represented in sexagesimal system.

16.

Which is the correct formula for pythagoras? 

a)

 c2=a2+b2c^2=a^2+b^2  

b)

 a2=c2−b2a^2=c^2-b^2  

c)

 b2=c2−a2b^2=c^2-a^2  

d)

 c2=a2−b2c^2=a^2-b^2  

17.

Determine the size of the angles from the magnitude of the angle: sin 37º 51'

a)

.3249

b)

1.9291

c)

.9703

d)

.6136

18.

Determine the magnitude of the angle from the size of the angle: csc 2.5593

a)

23º0'0.16"

b)

22º23'41.03"

c)

22º59'53"

d)

32º44'58.52"

19.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
20.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
21.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
22.
a)

52.32

b)

25.44

c)

56.89

d)

43.78

23.

Determine the size of the angle from the magnitude of the angle: sec 28º40'

a)

1.6965

b)

.2125

c)

1.1106

d)

1.1397

24.

Determine the magnitude of the angle from the size of the angle: csc 3.0150

a)

32º 44' 58.52"

b)

81º 59' 59.72"

c)

71º 15' 2"

d)

19º 22' 13.69"