Unit 5/8 Test

1. What is the definition of "cosine"?

Hypotenuse/Adjacent

Adjacent/Opposite

Hypotenuse/opposite

Adjacent/Hypotenuse

2. What is the definition of "tangent"?

Adjacent/Hypotenuse

Hypotenuse/opposite

Opposite/Adjacent

Adjacent/Opposite

3. What is the definition of "sine"?

Opposite/Adjacent

Hypotenuse/Adjacent

Opposite/Hypotenuse

Adjacent/Opposite

4. Find the unknown side length. Round answer to the nearest hundredth if necessary.

11.70 m

137 m

105 m

10.25 m

5. Cos 23 =
(answer correct to 2 decimal places)

0.935

0.94

0.921

0.92

-0.53

make sure that your calculator is in the correct mode

Explanation

make sure that your calculator is in the correct mode

6. If a = 7 and c = 25, b = ?

18

24

26

32

7. A triangle with sides length of 16, 30, and 34 units is a right triangle.

True

False

8.
Find x.

2

4

Cannot be determined from information.

This is a special triangle (why?)
The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).

Explanation

This is a special triangle (why?)
The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).

9. If the side lengths of a triangle are 7, 6, and 9, the triangle is _____.

Obtuse

Right

Acute

Cannot be formed

10. Which equation would best help solve for x?

Sin 25 = x/48

Cos 25 = x/48

Tan 25 = x/48

Tan 25 = 48/x

11. If b = 15 and c = 24, a = ? (Round answer to the tenth)

28.3

18.7

9

39

12. Evaluate x if

cos x =0.156

(correct to the neearest degree)

81°

1°

90°

13. In the diagram below, buildings P and Q are 50m apart. The angle of elevation of T from R is 53° and the angle of depression of V from R is 41°. Determine the height TV of building Q?

95.3m

73.6m

110m

83.4m

14. A triangle with sides length of 7, 24, and 25 units is a right triangle.

True

False

15. One end of a piece of wire 14 m long is attached to the top of a vertical pole and the other end is attached to the ground at an angle of 70 degrees to the ground. What is the height of the pole?

4.8 m

14.9 cm

13.2 m

38.5 m

16.

Find x.

7 * sqrt(3)

7

7 * sqrt(2)

The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).

Explanation

The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).

17. In a right angle triangle ABC, AB = 12 m, angle ABC = 90 degrees and angle BAC = 60 degrees. The length of side AC is

6 cm

24 cm

10.4 cm

16.5 cm

18. In the following triangle, what is sin A = ?

5/12

12/5

5/13

12/13

19. Tan 74^o =

(answer to 1 decimal place)

-5.7

3.4

3.5

2.3

make sure that your calculator is in the correct mode

Explanation

make sure that your calculator is in the correct mode

20. Evaluate x if

tan x = 2.45

(answer correct to 1 decimal place)

67.8°

67.7°

1.2°

1.1°

75.3°

Make sure that your calculator is in the correct mode!

Explanation

Make sure that your calculator is in the correct mode!

21. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level.

107 ft

207 ft

187 ft

210 ft

22. Name (First and Last)

-10 deducted no first or last name and a "0" will be received if you didn't use your legal student name

Explanation

-10 deducted no first or last name and a "0" will be received if you didn't use your legal student name

Submit

Unit 5/8 Test

1. What is the definition of "cosine"?

2.

What first name or nickname would you like us to use?

2. What is the definition of "tangent"?

3. What is the definition of "sine"?

4. Find the unknown side length. Round answer to the nearest hundredth if necessary.

5. Cos 23 = (answer correct to 2 decimal places)

6. If a = 7 and c = 25, b = ?

7. A triangle with sides length of 16, 30, and 34 units is a right triangle.

8. Find x.

9. If the side lengths of a triangle are 7, 6, and 9, the triangle is _____.

10. Which equation would best help solve for x?

11. If b = 15 and c = 24, a = ? (Round answer to the tenth)

12. Evaluate x if cos x =0.156(correct to the neearest degree)

13. In the diagram below, buildings P and Q are 50m apart. The angle of elevation of T from R is 53° and the angle of depression of V from R is 41°. Determine the height TV of building Q?

14. A triangle with sides length of 7, 24, and 25 units is a right triangle.

15. One end of a piece of wire 14 m long is attached to the top of a vertical pole and the other end is attached to the ground at an angle of 70 degrees to the ground. What is the height of the pole?

16. Find x.

17. In a right angle triangle ABC, AB = 12 m, angle ABC = 90 degrees and angle BAC = 60 degrees. The length of side AC is

18. In the following triangle, what is sin A = ?

19. Tan 74o = (answer to 1 decimal place)

20. Evaluate x if tan x = 2.45(answer correct to 1 decimal place)

21. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level.

22. Name (First and Last)

5. Cos 23 =
(answer correct to 2 decimal places)

8.
Find x.

12. Evaluate x if

cos x =0.156

(correct to the neearest degree)

16.

Find x.

19. Tan 74^o =

(answer to 1 decimal place)

20. Evaluate x if

tan x = 2.45

(answer correct to 1 decimal place)