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Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

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Page 1: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Jeopardy

Trig ratiosFinding a missing

side

Finding a missing angle

Sec, csc, and cot

Word Problems

100

200

300

400

500

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200

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400

500

100

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400

500

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400

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500

Page 2: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 100

Identify the hypotenuse, adjacent and opposite sides.

Reference Angle CA

B C

Page 3: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 100

A

B C

HypotenuseOpposite

Adjacent

Page 4: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 200

What does SOH-CAH-TOA mean?

Page 5: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 200SineOpposite over Hypotenuse

CosineAdjacent over Hypotenuse

TangentOpposite over Adjacent

Page 6: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 300

Write the following Trig ratio:

Cos A

B

A

C

16

12

20

Page 7: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 300

B

A

C

16

12

20

Cos A = 12/20 = 3/5

Page 8: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 400Write the following Trig ratio:

Tan X

X

Y

Z

16 12

20

Page 9: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 400

X

Y

Z

16 12

20

Tan X = 16/12 = 4/3

Page 10: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 500

Write the following Trig ratios: sin A, cos A, tan A

BA

C

36

39

15

Page 11: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 1 500

BA

C

36

39

15

sin A = 15/39 = 5/13 cos A = 36/39 = 12/13tan A = 15/36 = 5/12

Page 12: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 100

Find the missing Side. Found to the nearest tenth.

x

572o

Page 13: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 100

x = 16.2

Page 14: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 200

Find the missing Side. Found to the nearest tenth.

x

1224o

Page 15: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 200

x = 5.3

Page 16: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 300

Find the missing Side. Found to the nearest tenth.

x

1449o

Page 17: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 300

x = 12.2

Page 18: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 400

Find the missing Side. Found to the nearest tenth.

x

1451o

Page 19: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 400

x = 18.0

Page 20: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 500

Find the missing Side. Found to the nearest tenth.

x21

65o

Page 21: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 2 500

x = 52.0

Page 22: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 100

Find the missing angle. Found to the nearest degree.

4240

?

Page 23: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 100

72o

Page 24: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 200

Find the missing angle. Found to the nearest degree.

1127

?

Page 25: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 200

24o

Page 26: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 300

Find the missing angle. Found to the nearest degree.

20

13

?

Page 27: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 300

49o

Page 28: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 400

Find the missing angle. Found to the nearest degree.

12

24?

Page 29: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 400

30o

Page 30: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 500

Find the missing angle. Found to the nearest degree.

68

51?

Page 31: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 3 500

53o

Page 32: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 4 100

A 15-foot ladder is leaning against a wall creating a 36o angle. How high up the wall does the ladder reach?

Page 33: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

100Category 4

x = 12.1 feet

Page 34: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

200

Category 4

A ship is approaching a lighthouse with a sailor on its bow. The sailor is looking at the top of the lighthouse with a range finder. The top of the lighthouse is 500 yards away at an angle of 18˚. How far is the ship away from the lighthouse?

Page 35: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

200Category 4

475.5 yards

Page 36: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

300Category 4

A pine tree sits in a clearing. It casts a 45 foot shadow on the ground. The angle from the end of the shadow to the top of the tree is 40˚. How tall is the tree?

Page 37: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

300Category 4

37.8 feet

Page 38: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

400Category 4

A boy flying a kite lets out 300 feet of string which makes an angle of 38o with the ground. Assuming that the string is straight, how high above the ground is the kite.

Page 39: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

400Category 4

184.7 feet

Page 40: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

500Category 4

An airplane climbs at an angle of elevation 11o with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet.

Page 41: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

500Category 4

2057.8 feet

Page 42: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

Category 5 100

Cosecant A is the reciprocal in of which trigonometric function?

Page 43: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

100Category 5

Sine A

Csc A = 1/sin A

Page 44: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

200Category 5

Cotangent A is the reciprocal in of which trigonometric function?

Page 45: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

200Category 5

Tangent A

Cot A = 1/tan A

Page 46: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

300Category 5

Secant A is the reciprocal in of which trigonometric function?

Page 47: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

300Category 5

Cosine A

Sec A = 1/cos A

Page 48: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

400Category 5

What are two ratios we could use to represent the following ratio: a/b

A

B C

b

a

c

Page 49: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

400Category 5

Sin A = Cos C = a/b

Page 50: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

500Category 5

What are two ratios we could use to represent the following ratio: c/a

A

B C

b

a

c

Page 51: Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300

500Category 5

Tan C = Cot A = c/a