Free Printable Trig TEST

1.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

2.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

3.

Use the diagram to an equation that is correct.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

4.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

5.

Find x round to the nearest tenth.

(a)

6.

Solve for the misssing distance. Round to the nearest tenths.

(a)

7.

Solve for x. Round to the nearest tenth.

(a)

8.

Solve for x. Round to the nearest tenth.

(a)

9.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

(a)

10.

Solve for the missing angle. Round to the nearest degree.

(a)

11.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

12.

Given sin θ=7/25, find of cos θ. (HINT: Draw a triangle and label the sides.)

a)

7/25

b)

24/25

c)

7/24

d)

24/7

13.

Given cos A = 40/41, find the sin A. (HINT: Draw a triangle and label the sides.)

a)

9/41

b)

40/41

c)

9/40

d)

3/10

14.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach? Round to the nearest tenth.

(a)

15.

Which equation would you use to solve for x?

a)

sin 62 = 10/x

b)

tan 62 = 10/x

c)

tan 62 = x/10

d)

cos 10 = x/62

16.

Which equation would you use to solve for x?

a)

sin 58 = x/19

b)

cos 58 = x/19

c)

sin 58 = 19/x

d)

cos 58 = 19/x

17.

Is this an angle of elevation or an angle of depression?

a)

Angle of Elevation

b)

Angle of Depression

c)

Neither

d)

Both

18.

The angle of 12^o is a(n)

a)

angle of elevation

b)

angle of depression

c)

neither

d)

both

19.

An example of a Pythagorean Triple is ______

a)

1, 2, 3

b)

4, 5, 6

c)

3, 4, 5

d)

5, 8, 10

20.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew? Round to the nearest tenths.

(a)

21.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree to the nearest foot.

(a)

22.

If you are given 2 of the sides to a right triangle, what should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean

23.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

24.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

25.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

26.

What is the missing number?

Sin(60) = Cos( )

a)

10

b)

20

c)

30

d)

40

27.

What is the missing number?
Sin( ) = Cos(80)

a)

5

b)

10

c)

15

d)

20

28.

cos(15^o) =

a)

sin(75^o)

b)

tan(75^o)

c)

cos(75^o)

d)

sin(15^o)

29.

If cos α = sin β, what must be true about α and β?

a)

α and β are complementary angles

b)

α and β are congruent angles

c)

α and β are right angles

d)

α and β are supplementary angles

30.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

31.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

32.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

33.

In scalene triangle ABC shown in the diagram above, m∠C = 90°. Which equation is always true?

a)

sinA=sinB

b)

cosA=cosB

c)

cosA=sinC

d)

sinA =cosB

34.

What is the value of x?
sin (2x - 15)^o = cos (x - 12)^o

a)

39

b)

29

c)

49

d)

3

35.

What is the measure of <A?

a)

x^o

b)

(90 - x)^o

c)

(x + 90)^o

d)

(180 - 2x)^o

36.

Which equation shows how to find the missing angle?

a)

$x=\tan^{-1}\left(\frac{39}{34}\right)$

b)

$x=\sin^{-1}\left(\frac{34}{39}\right)$

c)

$x=\cos^{-1}\left(\frac{34}{39}\right)$

d)

None of these are correct for x

37.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

a)

12.4 ft

b)

11.3 ft

c)

22.3 ft

d)

49.1 ft

38.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

39.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

40.

$\sin\left(5x+15\right)\degree=\cos\left(4x-6\right)\degree$
$x=$ (a)

41.

Which of the following statements is FALSE?

a)

$\sin15\degree=\cos65\degree$

b)

$\sin70\degree=\cos20\degree$

c)

$\cos43\degree=\sin47\degree$

d)

$\sin12\degree=\cos78\degree$

42.

An airplane takes off 600 feet in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?

a)

about .1 degree

b)

about 84 degrees

c)

about 6 degrees

d)

I love Math!

43.

Which equation shows the relationship of complementary angles in a right triangle?

a)

$\sin\left(\theta\right)=\cos\left(\theta\right)$

b)

$\cos\left(\theta\right)=\sin\left(90-\theta\right)$

c)

$\tan\left(\theta\right)=\cos\left(90-\theta\right)$

d)

$\sin\left(90-\theta\right)=\tan\left(\theta\right)$

44.

If sin x = cos y, what must be true about x and y?

a)

x + y = 90⁰

b)

x = y

c)

x = 2y

d)

x + y = 180⁰

45.

Solve for the missing angle. Round to the nearest degree.

(a)

46.

What is the length of the side adjacent to ∠C?

(a)

47.

What is the length of the side adjacent to ∠Z?

(a)

48.

Which trig equation would you use to solve for x?

a)

$\sin40=\frac{x}{19}$

b)

$\cos40=\frac{x}{19}$

c)

$\tan40=\frac{x}{19}$

Trig TEST

Total questions: 48

Worksheet time: 8hrs 51mins

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