Free Printable Trigononometry

Worksheets

Trigononometry

Total questions: 25

Worksheet time: 1hrs 9mins

Name

Class

Date

What is the name given to the longest side of a right-angled triangle?

Hypotenuse

Opposite

Adjacent

The side ‘next to’ the marked angle is called:

Hypotenuse

Touching

Adjective

Adjacent

What is the length of the hypotenuse?

What is the ratio for Sine?

Hyp/Opp

Opp/Hyp

Opp/Adj

Adj/Opp

What is the ratio for Tangent

Opp/Adj

Adj/Opp

Opp/Hyp

Hyp/Opp

What is the ratio for Cosine?

Opp/Hyp

Opp/Adj

Adj/Opp

Adj/Hyp

Set up the problem so that you can solve for X.

sin X = 41/28

tan X = 41/28

cos X = 28/41

sin X = 28/41

Solve for the missing angle

50.5 degrees

12.7 degrees

36.9 degrees

72.2 degrees

Solve for x. Round to the nearest tenth.

15.3

16.6

24.1

24.3

10.

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

9.4

55.2

20.15

19.4

11.

Solve for the misssing distance

18.9 meters

19.5 meters

47.2 meters

27.5 meters

12.

Find h

35.60

35.00

35.71

61.03

13.

For the triangle shown, name the opposite side of θ.

14.

For the triangle shown, name the adjacent side of θ.

15.

For the triangle shown, name the hypotenuse.

16.

For the triangle shown, find the value of x correct to decimal places.

15.54 cm

3.87 cm

64.17 cm

16.49 cm

17.

A 12 meter ladder lean on the wall of a house and the angle between the ladder and the ground is 60⁰ . The height of the wall is ... m

$6\sqrt{2}$

$6\sqrt{3}$

$6\sqrt{6}$

$12\sqrt{3}$

$12\sqrt{6}$

18.

Find x.

28.9

61.1

64.2

25.8

19.

Find x.

18.6

21.3

9.2

12.2

20.

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?

21.

cos B = ?

12/13

12/5

5/13

5/12

22.

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?

39.6

6.0

14.8

13.6

23.

A ladder of length 5 m rests against a vertical wall so that the base of the ladder is 2.8 m from the wall. Calculate the angle between the ladder and the ground

54.60^o

45.56^o

55.94^o

54.45^o

24.

Marcel put a ladder which have the length 6 m rests against a verticall wall so that the angle between the ladder and the ground is 61^o. How far up the wall does the ladder reach?

4.35m

4.82 m

5.25m

5.35 m

25.

What is the correct equation to solve for x?

tan (45) = x/13

cos (45) = x/13

sin (45) = 13/x

sin (45) = x/13

100 %

Trigononometry

Total questions: 25

Worksheet time: 1hrs 9mins

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