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Unit: Intro to Trig Quiz

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

Rohan and Charlotte are trying to solve for x in a trigonometry problem. What equation can they use?

a)

Sin(40°)= x/40 

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

2.

William and Mia are racing their toy cars. Solve for the missing distance to find out who wins!

a)

18.9

b)

19.5

c)

47

d)

27.5

3.

Isla and Arjun are having a fun day at the park flying a kite. Suddenly, the kite gets caught in the top of a tall tree!  Use the diagram to estimate the height of the tree. 

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

4.

William and Priya are on a yacht anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

a)

25 feet

b)

45 feet 

c)

110 feet 

d)

135 feet 

5.

David and Ava are trying to remember trigonometric ratios for their math quiz. Which one is the fun and easy way they came up with?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

6.

Kai and Abigail are building a treehouse and need to find the measurement of the missing side indicated. Can you help them?

a)

4.39

b)

3.21

c)

2.19

d)

2.05

7.

James and Olivia are trying to solve a trigonometry puzzle. Can you help them find the ratio for SIN X?

a)

Opp/Adj

b)

Adj/Hyp

c)

Opp/Hyp

d)

Adj/Opp

8.

Hey Harper, can you help Oliver figure out the Ratio for COS X
?

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

9.

Benjamin and Charlotte are solving a trigonometry puzzle. Can you help them choose the correct ratio?

a)

cos(33o)=x/14

b)

sin(33o)=x/14

c)

cos(33o)=14/x

d)

sin(33o)=14/x

10.

Harper and Priya are trying to solve a trigonometry puzzle. Can you help them by selecting the correct ratio for SinA?

a)

3735\frac{37}{35}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

1237\frac{12}{37}

11.

During a fun geometry challenge, Kai asked Ethan, "What side is opposite \angle J?  "

a)

9

b)

40

c)

41

d)

none

12.

Rohan, Liam, and David are discussing geometry. Can you help them figure out how many degrees are in a full circle?

a)

90°

b)

180°

c)

270°

d)

360°

13.

Aria and Kai are debating about the number of radians in a full circle. Can you help them out?

a)

π/2

b)

π

c)

3π/2

d)

14.

Aria and Kai are debating about the position of 135° on the coordinate plane. Can you help them figure out in which quadrant 135° is found?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

15.

Mia and Olivia are debating in class: In which quadrant would you find 200°?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

16.

Aria and Daniel are on a math adventure! They need your help to find out: 270° is equal to how many radians?

a)

π

b)

π/3

c)

3π/4

d)

3π/2

17.

Grace and Oliver are debating about angles. Can you help them out? How many radians is 90° equal to?

a)

π/4

b)

π/2

c)

π

d)

18.

Which image shows the correct position of each of the angles in the first quadrant of the unit circle?

a)
b)
c)
d)
19.

Aria and Liam are trying to solve a trigonometry puzzle. Can you help them find the value of cos(30o)?

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

20.

Aria and Jackson are debating about the value of sin(240o). Can you help them figure it out?

a)

√3/2

b)

-√3/2

c)

1/2

d)

-1/2