Free Printable Trigonometric Ratios Review

Worksheets

Trigonometric Ratios Review

Total questions: 30

Worksheet time: 1hrs 13mins

Name

Class

Date

Identify the hypotenuse.

What is the relation between the three sides of the right-angle triangle in the figure?

a²+b²=c²

a+b=c

a²-b²=c²

c-a=c

What is the length of x?

Calculate the length of the missing side.

13.5

14.3

Calculate the length of the missing side (to one decimal point).

8.3

3.2

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

Find h

35.60

35.00

35.71

61.03

In a computer catalog, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

22 cm

23 cm

24 cm

25 cm

What is the length of the monitor diagonally in two decimal places ?

32.2

32.10

54.75

47.2

10.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

7 m

17 m

23 m

120 m

11.

Which trigonometric ratio should you use?

Tangent Ratio

Sine Ratio

Cosine Ratio

Any ratio

12.

Find side AB?

20 m

5 m

11.54 m

8.66 m

13.

Choose the correct ratio.

14.

Find the length of side w.

21.4 cm

18.0 cm

36.5 cm

43.6 cm

15.

Solve for the misssing distance

18.9

19.5

27.5

16.

Which scenario describes the picture shown?

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

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

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

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

17.

Solve for the missing angle.

50.5 degrees

12.7 degrees

36.9 degrees

72.2 degrees

18.

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?

118.2 ft

120.9 ft

124.3 ft

126.5 ft

19.

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.

0.45 km

1.28 km

0.64 km

1.09 km

20.

What is the ratio for Sine?

Hyp/Opp

Opp/Hyp

Opp/Adj

Adj/Opp

21.

What is the correct equation to solve for x ?

tan( 46 ) = 17/x

sin ( 46 ) = x/17

tan (46 ) = x/17

cos (46) = x/17

22.

What is the correct equation to solve for x ?

tan (58) = x/11

tan (58) = 11/x

cos (58) = x/11

sin (58) = x/11

23.

Which triangle below shows the ratio as $\sin\left(x\right)=\frac{b}{c}$ ?

24.

Find the length of the missing side x...

Round your answer to 1 decimal place.

10.3 cm

10.2 cm

17.5 cm

8.6 cm

25.

Find the measure of the missing angle.

49^o

50^o

41^o

33^o

26.

32.58

57.42

31.44

59.02

27.

Find the measure of the indicated angle (?) round to the nearest tenth.

9.4

55.2

20.15

19.4

28.

I would use the inverse trigonometric ratios when...

I am solving for a side of right triangle.

I am solving for an angle within a right triangle.

29.

Find x.

46.1

4.90

16.4

26.9

30.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

63 ft

65 ft

74 ft

87 ft

Reset

Trigonometric Ratios Review

Total questions: 30

Worksheet time: 1hrs 13mins

Similar Resources on Wayground