Free Printable FOURTH QUARTER

1.

Using the figure above, what is the value of sin A?

a)

$\frac{4}{5}$

b)

$\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$\frac{5}{4}$

2.

What trigonometric ratio is the inverse of cosine?

a)

cot

b)

csc

c)

sec

d)

sin

3.

What is the value of cos B in the figure?

a)

$\frac{3}{4}$

b)

$\frac{5}{4}$

c)

$\frac{4}{5}$

d)

$\frac{3}{5}$

4.

What is the value of tan B in the figure?

a)

$\frac{5}{6}$

b)

$\frac{10}{11}$

c)

$\frac{11}{12}$

d)

$\frac{12}{11}$

5.

Using the figure, which mnemonic to use in finding c, using ∠A as a reference angle?

a)

CAH

b)

TOA

c)

SOH

d)

SHA

6.

Using the figure, which mnemonic to use in finding ∠B?

a)

CAH

b)

TOA

c)

SOH

d)

CAO

7.

cos 87

a)

.05

b)

.569

c)

.0523

d)

.5700

8.

What is the correct equation to solve for x?

a)

$\tan45\degree=\frac{x}{13}$

b)

$\cos45\degree=\frac{x}{13}$

c)

$\sin45\degree=\frac{13}{x}$

d)

$\sin\ 45\degree=\frac{x}{13}$

9.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

10.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

11.

Choose the correct ratio.

a)

$\sin\ Z=\frac{5}{13}$

b)

$\sin\ X=\frac{5}{13}$

c)

$\cos\ X=\frac{12}{13}$

d)

$\tan\ Z=\frac{12}{5}$

12.

Identify the trigonometric ratio that may be used to find the marked unknown side.

a)

$\sin\ 29\degree=\frac{x}{91}$

b)

$\tan\ 29\degree\ =\ \frac{91}{x}$

c)

$\cos\ 29\degree\ =\ \frac{x}{91}$

d)

$\tan\ 29\degree=\ \frac{x}{91}$

13.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

14.

Identify side XZ, with respect to the marked angle.

a)

altitude

b)

hypotenuse

c)

opposite

d)

adjacent

15.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

a)

b)

c)

d)

16.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the ratio is the appropriate for the problem?

a)

$\tan\theta=\frac{opposite}{hypotenuse}$

b)

$\sin\theta=\frac{opposite}{hypotenuse}$

c)

$\cos\theta=\frac{adjacent}{hypotenuse}$

17.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

a)

45.02 ft

b)

55.53 ft

c)

50.2 ft

d)

48.14 ft

18.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of $74^o$ with the level ground. How high on the wall does the ladder reach?

a)

20.15 ft

b)

22.67 feet

c)

25.63 feet

d)

15.36 feet

19.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

20.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

21.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

22.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

23.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

24.

Find AC

a)

12

b)

10

c)

23

d)

14

25.

find X

a)

52

b)

33

c)

41

d)

29

26.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

27.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

28.

Find the missing side.

a)

15.9 in.

b)

22.8 in.

c)

19.2 in.

d)

521.1 in.

29.

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

a)

250

b)

615

c)

500

d)

300

30.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

31.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

32.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

33.

Find the value of y.

a)

11√2

b)

11

c)

22

d)

11/√2

34.

Solve for x. Round to the nearest tenth.

a)

19.0

b)

24.3

c)

21.0

d)

20.2

35.

Solve for x. Round to the nearest tenth.

a)

10.4

b)

8.9

c)

31.2

d)

11.9

FOURTH QUARTER - TRIGONOMETRY

Total questions: 35

Worksheet time: 1hrs 1mins

Similar Resources on Wayground