Angle Relationships Answers

1

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Solve for x. Round your answer to the nearest thousandth.

A

7.08

B

23.869

C

8.442

D

10.903

2

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In right triangle ABC, when angles A and B add up to 90 degrees, what is the cosine of B equal to?

A

sin B

B

tan A

C

sin A

D

cos A

3

Which of the following statements is true?

A

sin 30° = cos 30°

B

sin 35° = cos 55°

C

sin 60° = cos 60°

D

sin 55° = cos 25°

4

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

A

B

C

D

5

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. The sine of the complementary angle to 75°

A

0.65

B

0.57

C

0.34

D

0.26

6

When are two angles called complements of one another?

A

when together they are equal to 180 degrees

B

when together they are equal to a right angle

C

when together they are equal to an acute angle

D

when together they are equal to an obtuse angle

7

Which of the following statements is true?

A

sin 18° = cos 72°

B

sin 55° = cos 55°

C

sin 72° = cos 18°

D

Both a and c.

8

Solve for x. Round your answer to the nearest thousandth.

A

7.08

B

23.869

C

8.442

D

10.903

9

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. How far would you now have to sail?

A

0.68 miles

B

0.43 miles

C

0.25 miles

D

0.5 miles

10

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

A

B

C

D

11

For the triangle above, find sin A.

A

0.724

B

49°

C

50°

D

0.69

12

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?

A

0.5cos30°

B

0.5cos60°

C

0.5sin30°

D

0.5sin60°

13

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?

A

0.5cos30°

B

0.5cos60°

C

0.5sin30°

D

0.5sin60°

14

Solve for x. Round your answer to the nearest thousandth.

A

8.691

B

6.252

C

6.474

D

12.956

15

In right triangle ABC, when angles A and B add up to 90 degrees, what is the cosine of B equal to?

A

sin B

B

tan A

C

sin A

D

cos A

16

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.The cosine of the complimentary angle to 57°

A

0.98

B

0.13

C

-0.01

D

0.84

17

Which of the following statements is true?

A

sin 30° = cos 30°

B

sin 35° = cos 55°

C

sin 60° = cos 60°

D

sin 55° = cos 25°

18

Which of the following expressions is equal to the height, h, of this triangle?

A

25(cos34°)

B

25(cos56°)

C

25(tan34°)

D

25(tan56°)

19

Which of the following expressions is equal to the height, h, of this triangle?

A

25(cos34°)

B

25(cos56°)

C

25(tan34°)

D

25(tan56°)

20

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.The sine of the complimentary angle of 28°

A

-0.86

B

0.88

C

-0.74

D

0.76

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