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Right Triangles Unit Review

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

What is the approximate length of the kite and its string from the top of the tree to where it rests on the ground? Use pythagorean theorem to solve. 

a)

14 feet

b)

22 feet

c)

26.08 feet

d)

31.91 feet

2.

 A hot air balloon is tied to a stake with a 100 foot rope. It is floating 90 feet away from the stake. Approximately how high is the basket of the hot air balloon above the ground?  Use Pythagorean theorem to solve.

a)

21.87 feet

b)

43.59 feet

c)

81.31 feet

d)

134.54 feet

3.

Use special angle relationships to solve for x.

a)

454\sqrt[]{5}

b)

8153\frac{8\sqrt[]{15}}{3}

c)

8158\sqrt[]{15}

d)

8

4.

Use special angle relationships to solve for x.

a)

12612\sqrt[]{6}

b)

363\sqrt[]{6}

c)

626\sqrt[]{2}

d)

12212\sqrt[]{2}

5.

Use special angle relationships to solve for x.

a)

3

b)

373\sqrt[]{7}

c)

676\sqrt[]{7}

d)

66

6.

Use special angle relationships to solve for x.

a)

30

b)

1522\frac{15\sqrt[]{2}}{2}

c)

152\frac{15}{2}

d)

15215\sqrt[]{2}

7.

Was is the sin of angle A as a simplified fraction?

a)

1220\frac{12}{20}

b)

35\frac{3}{5}

c)

1620\frac{16}{20}

d)

45\frac{4}{5}

8.

Was is the cos of angle A as a decimal?

a)

0.8

b)

0.6

c)

0.75

d)

1.33

9.

Was is the cos of angle C as a decimal?

a)

0.6

b)

0.75

c)

0.8

d)

1.33

10.

Was is the tan of angle A as a simplified fraction?

a)

1216\frac{12}{16}

b)

1612\frac{16}{12}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

11.

Use the sine, cosine, or tangent ratio to solve for x.

a)

6.9

b)

17.6

c)

13.0

d)

20.8

12.

Use the sine, cosine, or tangent ratio to solve for x.

a)

6.5

b)

12.1

c)

34.7

d)

4.9

13.

Use the sine, cosine, or tangent ratio to solve for x.

a)

8.5

b)

18.1

c)

34.1

d)

7.5

14.

Use inverse trig functions to solve for the missing angle.

a)

29

b)

1

c)

61

d)

26

15.

Use inverse trig functions to solve for the missing angle.

a)

30

b)

27

c)

60

d)

63

16.

Use inverse trig functions to solve for the missing angle.

a)

15

b)

75

c)

14

d)

25

17.

An escalator has a vertical rise of 196 feet and rises at an angle of 10.4°. How long is the escalator? Round you answer to the nearest tenth.

18.

A flagpole casts a shadow that is 137 feet long. The angle of elevation between from the end of the shadow to the top of the flagpole is 25°. How tall is the flagpole? Round your answer to the nearest tenth.

19.

A man standing on a cliff 50 yards above the water spots a boat that is 150 yards out on the water. What is the angle from the man to the boat? Round you answer to the nearest tenth.

20.

A man climbs to the roof of his house 25 feet off the ground. He needs to run a wire to his satellite which is 10 feet from the base of his house. What angle should the wire be at? Round your answer to the nearest tenth.