Question 1

In scalene triangle ABC, m∠C = 90°.  Which statement is always true?

Accepted Answer

sin A = cos B

Answer

cos A = cos B

Answer

sin A = sin B

Answer

cos A = sin C

Question 2

Which expression is always equivalent to sin x when 0° < x  < 90°?

Accepted Answer

cos (90° - x)

Answer

cos (x)

Answer

cos (45° - x)

Answer

cos (2x)

Question 3

In ABC, the complement of ∠B is ∠A. Which statement is always true?

Accepted Answer

sin∠A = cos∠B

Answer

tan∠A = cos∠B

Answer

sin∠A = tan∠B

Answer

cos∠A = cos∠B

Question 4

In the diagram of right triangle ABC shown below, AB = 14 and AC = 9.  What is the measure of ∠A, to the nearest degree?

Accepted Answer

50˚

Answer

33˚

Answer

40˚

Answer

57˚

Question 5

In the diagram below, ∆ERM ~ ∆JTM.  Which statement is always true?

Accepted Answer

tan E = $\frac{TM}{JM}$

Answer

tan T = $\frac{RM}{EM}$

Answer

cos J = $\frac{RM}{RE}$

Answer

cos R = $\frac{JM}{JT}$

Question 6

What value of R will make the equation sin 73° = cos R true when 0° < R < 90°?

Accepted Answer

17: 17˚

Question 7

In  ∆ABC, where ∠C is a right angle, cos A = $\frac{\sqrt{21}}{5}$.  What is sin B?

Accepted Answer

$\frac{\sqrt{21}}{5}$

Answer

$\frac{2}{5}$

Answer

$\frac{5}{\sqrt{21}}$

Answer

$\frac{\sqrt{21}}{2}$

Question 8

The diagram shows two similar triangles.  If tan $	heta$ = $\frac{3}{7}$, what is the value of x, to the nearest tenth?

Accepted Answer

5.6

Answer

7.6

Answer

8.8

Answer

1.2

Question 9

The diagram shows rectangle ABCD, with diagonal BD.  What is the perimeter of rectangle ABCD, to the nearest tenth?

Accepted Answer

32.8

Answer

48.0

Answer

62.4

Answer

28.4

Question 10

Given the right triangle in the diagram, what is the value of x, to the nearest foot?

Accepted Answer

18

Answer

22

Answer

17

Answer

11

Question 11

In the diagram of right triangle ADE, BC || DE.  Which ratio is always equivalent to the sine of ∠A?

Accepted Answer

$\frac{BC}{AB}$

Answer

$\frac{AB}{AC}$

Answer

$\frac{AE}{AD}$

Answer

$\frac{AD}{DE}$

Question 12

In right triangle ABC,m∠C = 90°.  If cos B = $\frac{5}{13}$ ,which function also equals $\frac{5}{13}$?

Accepted Answer

sin A

Answer

sin B

Answer

tan B

Answer

tan A

Question 13

In the diagram, what is the measure of ∠S, to the nearest degree?

Accepted Answer

23˚

Answer

67˚

Answer

47˚

Answer

43˚

Question 14

In right triangle ABC, m∠A = 32°, m∠B = 90°, and AC = 6.2 cm. What is the length of BC, to the nearest tenth of a centimeter?

Accepted Answer

3.3

Answer

5.3

Answer

3.9

Answer

11.7

Question 15

In a right triangle, sin (40 - x)°  = cos (3x)°. What is the value of x?

Accepted Answer

25

Answer

20

Answer

15

Answer

10

Question 16

In right triangle ABC, hypotenuse AB has a length of 26 cm, and side BC has a length of 17.6 cm. What is the measure of angle B, to the nearest degree?

Accepted Answer

47˚

Answer

43˚

Answer

48˚

Answer

34˚

Question 17

In a right triangle, the acute angles have the relationship sin (2x + 4) = cos 46˚.
What is the value of x?

Accepted Answer

20

Answer

24

Answer

21

Answer

25

Question 18

In ∆ABC, angle C is a right angle.  Which statement must be true?

Accepted Answer

sin A = cos B

Answer

sin A = tan B

Answer

sin B = cos B

Answer

sin B = tan A

Question 19

In the diagram of similar triangles ∆HAR and ∆NTY, angles H and N are right angles.  If AR = 13 and HR = 12, what is the measure of angle Y, to the nearest degree?

Accepted Answer

23˚

Answer

25˚

Answer

65˚

Answer

67˚

Question 20

If sin(2x + 7)° = cos(4x - 7)°, what is the value of x?

Accepted Answer

15

Answer

30

Answer

21

Answer

7

Question 21

Which equation would determine the value of angle A?

Accepted Answer

tan A = $\frac{15}{8}$

Answer

sin A = $\frac{8}{17}$

Answer

tan A = $\frac{8}{15}$

Answer

cos A = $\frac{15}{17}$

Question 22

In right triangle ABC, m∠C = 90° and AC ≠ BC. Which trigon metric ratio is equivalent to sin B?

Accepted Answer

cos A

Answer

tan B

Answer

tan A

Answer

cos B

Question 23

The expression sin 57° is equal to

Accepted Answer

cos 33˚

Answer

tan 33˚

Answer

tan 57˚

Answer

cos 57˚

Question 24

If ∆ABC ∼ ∆DEF, with right angles B and E, BC = 15 cm, and AC = 17 cm, what is the measure of ∠F, to the nearest degree?

Accepted Answer

28˚

Answer

41˚

Answer

62˚

Answer

88˚

Question 25

For the acute angles in a right triangle, sin (4x)°  =  cos (3x + 13)°. What is the number of degrees in the measure of the smaller angle?

Accepted Answer

44

Answer

13

Answer

11

Answer

52

Question 26

In the diagram of right triangle ABC, altitude BD is drawn.  Which ratio is always equivalent to cos A?

Accepted Answer

$\frac{BD}{BC}$

Answer

$\frac{BC}{AC}$

Answer

$\frac{BD}{AB}$

Answer

$\frac{AB}{BC}$

Question 27

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

12.5

Question 28

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

16.4

Question 29

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

13.0

Question 30

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

5.1

Question 31

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

18.6

Question 32

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

16.4

Question 33

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

18.3

Question 34

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

8.9

Question 35

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

10.4

Question 36

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

27.5

Question 37

Determine the value of x, rounded to the nearest tenth.

Accepted Answer

20.4

Question 38