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Worksheets

Right Triangles

Total questions: 39

Worksheet time: 2hrs 43mins

Name
Class
Date
1.

Solve for x.

a)

18.9

b)

13.7

c)

356.9

d)

187.6

2.

Solve for x.

a)

36.2

b)

44.6

c)

13,7

d)

29.4

3.

Solve for x.

a)

11.9

b)

19.2

c)

10.7

d)

29.2

4.

In Tallahassee, the library is 3 miles due west of the post office and the zoo is 5 miles due north of the library. What is the distance from the post office to the zoo?

a)

2.8 miles

b)

8 miles

c)

4 miles

d)

5.8 miles

5.

Two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall. If a 24-foot wire is stretched between the tops of the posts, how far apart are the posts?

a)

22.2 feet

b)

34.7 feet

c)

25.6 feet

d)

16.9 feet

6.

A 15.6-inch laptop is featured in a sales ad for $799. This distance is the diagonal distance across the screen. If the screen measures 7.8 inches in height, what is the width of the screen?

a)

17.4 inches

b)

13.5 inches

c)

7.8 inches

d)

2 inches

7.

What kind of triangle do these three sides make? 3, 9, 10

a)

Not a triangle

b)

Acute

c)

Right

d)

Obtuse

8.

What kind of triangle do these three sides make? 6, 12, 19

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

9.

What kind of triangle do these three sides make? 21, 28, 35

a)

Acute

b)

Not a triangle

c)

Obtuse

d)

Right

10.

Find the value of each variable:

a)

x=10

b)

x=10√2

c)

y=10

d)

y=10√2

11.

Find the value of each variable.

a)

y=14

b)

x=14

c)

x=7√3

d)

y=7√3

12.

Find the value of each variable.

a)

x=16

b)

y=16

c)

y=16√3

d)

x=32√3

e)

x=(16√3)/3

13.

Find the value of the variables.

a)

x=3√2

b)

y=3√2

c)

x=6√2

d)

y=6√2

14.

Find the value of each variable.

a)

x=11

b)

x=33

c)

y=22

d)

y=33

15.

Find the value of each variable.

a)

z=24

b)

y=8√3

c)

x=16√3

d)

z=12√2

e)

x=(8√3)/3

16.

Solve for x.

a)

4.8

b)

3.6

c)

6.4

d)

23.04

17.

Solve for x.

a)

14.4

b)

19.2

c)

10

d)

207.4

18.

Solve for x.

a)

8.5

b)

6√2

c)

72

d)

27

19.

Solve for x.

a)

300

b)

10√3

c)

17.3

d)

14.1

e)

10√2

20.

Solve for x.

a)

6.6

b)

21.6

c)

9.9

d)

3√11

e)

16.4

21.

What is sin L?

a)

3/5

b)

4/3

c)

4/5

d)

6/10

22.

What is tan N?

a)

3/5

b)

4/3

c)

4/5

d)

6/10

23.

What is cos L?

a)

3/5

b)

4/5

c)

4/3

d)

6/10

24.

What is sin N?

a)

3/5

b)

4/5

c)

4/3

d)

6/10

25.

Solve for x.

a)

11.9

b)

7.4

c)

8.7

d)

16.5

26.

Solve for x.

a)

27.2

b)

37.4

c)

16.0

d)

17.8

27.

Solve for x.

a)

4.6

b)

65.7

c)

17.6

d)

63.4

28.

Solve for x.

a)

36.9

b)

15

c)

53.1

d)

1.9

29.

Solve for x.

a)

33.2

b)

36.7

c)

72.6

d)

18.3

30.

Solve for x.

a)

43

b)

31

c)

42.4

d)

22.7

31.

Solve for x.

a)

40.4

b)

64.2

c)

25.8

d)

13.1

32.

Solve for x.

a)

65.3

b)

2.4

c)

46.6

d)

67.3

33.

Helana is standing 10 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55o. Find the height of the nest.

a)

14.3 feet

b)

8.2 feet

c)

5.6 feet

d)

7.0 feet

34.

The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76 degrees. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon.

a)

1160.8 feet

b)

1514.8 feet

c)

1419.8

d)

85.6

35.

A fire hydrant sits 72 feet from the base of a 125 foot tall building. Find the angle of elevation from the fire hydrant to the top of the building.

a)

384.7 degrees

b)

53 degrees

c)

60.1 degrees

d)

0.01 degrees

36.

A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10o. What is the distance from the surfer to the shoreline?

a)

40.3 feet

b)

1.2 feet

c)

6.9 feet

d)

1.2 feet

37.

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23o. If the tower is 140 feet tall, find the ground distance between the cables.

a)

14.8 feet

b)

128.9 feet

c)

59.4

d)

659.6 feet

38.

Jadiel spots a bird sitting at the top of a 40 foot tall telephone pole. If Jadiel is standing 24 feet away from the pole, what is the angle of elevation from Jadiel to the top of the pole?

a)

36.9 degrees

b)

53.1 degrees

c)

31.0

d)

59 degrees

39.

A shark is swimming 28 feet below sea level. If the horizontal distance between a boat and the shark is 81.3 feet, what is the angle of depression from the boat to the shark?

a)

20.1 degrees

b)

69.9 degrees

c)

53.3 degrees

d)

19 degrees