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Worksheets

Sohcahtoa and Pythagoras

Total questions: 21

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
2.

Which side is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

3.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
4.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

5.

In relation to the angle θ, label the side marked b in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

6.

In relation to the angle θ, label the side marked c in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

7.

In relation to the angle θ, label the side marked b in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

8.

Which side of the triangle is adjacent to angle R?

a)

QP

b)

QR

c)

RP

9.

Which side of the triangle is the hypotenuse?

a)

QP

b)

QR

c)

RP

10.

Which side of the triangle is opposite of angle R?

a)

QP

b)

QR

c)

RP

11.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

12.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
13.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
14.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
15.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
16.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
17.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

18.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

19.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
20.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
21.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62