Free Printable Trigonometry revision

1.

Identify the hypotenuse.

a)

a

b)

b

c)

c

2.

We can use SOH-CAH- TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

3.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

4.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

5.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

6.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

7.

Find the missing side of this right angled triangle...

a)

16.1cm

b)

11.4cm

c)

16.2cm

d)

11.5cm

8.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

9.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

10.

Find the value of the missing angle, correct to 1 decimal place.

a)

9.4

b)

55.2

c)

25.5

d)

19.4

11.

Solve for the missing angle.

a)

$50.5\degree$

b)

$12.7\degree$

c)

$36.9\degree$

d)

$72.2\degree$

12.

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

13.

Which of the following is TRUE ?

a)

$\sin\ ratio=\frac{opp}{adj}$

b)

$\sin\ ratio=\ \frac{opp}{hyp}$

c)

$\sin\ ratio\ =\ \frac{adj}{hyp}$

d)

$\sin\ ratio=\ \frac{hyp}{opp}$

14.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

15.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

16.

Find the length of the ramp.

a)

5.7

b)

44.6

c)

41.7

d)

17.1

17.

Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73^o, how far off the ground is Dustin?

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

18.

A sailing boat, which was supposed to be travelling north, veered off course and travelled N 45° E for a distance of 0.64 km, as shown. How far east had the sailing boat travelled? Give your answer to 2 decimal places.

a)

0.45 km

b)

1.28 km

c)

0.64 km

d)

1.09 km

19.

A kite is on a 300-ft string. The angle of elevation from the ground to the kite is 39°. Which is the best estimate of the height of the kite above the ground?

a)

629 feet

b)

243 feet

c)

189 feet

d)

233 feet

20.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

21.

cos B = ?

a)

12/13

b)

12/5

c)

5/13

d)

5/12

22.

What is the TANGENT ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

23.

"θ" is used to represent an unknown ____________.

a)

angle

b)

side

c)

hypotenuse

24.

The diagram shows a flagpole that is supported by a wire QR. The angle PRQ, in degree, is

a)

30

b)

45

c)

50

d)

60

Trigonometry revision

Total questions: 24

Worksheet time: 51mins

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