Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems...

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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

Transcript of Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems...

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

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Category 1 100

Identify the hypotenuse, adjacent and opposite sides.

Reference Angle CA

B C

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Category 1 100

A

B C

HypotenuseOpposite

Adjacent

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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

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Category 1 300

Write the following Trig ratio:

Cos A

B

A

C

16

12

20

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Category 1 300

B

A

C

16

12

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Cos A = 12/20 = 3/5

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Category 1 400Write the following Trig ratio:

Tan X

X

Y

Z

16 12

20

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Category 1 400

X

Y

Z

16 12

20

Tan X = 16/12 = 4/3

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Category 1 500

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

BA

C

36

39

15

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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

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Category 2 100

Find the missing Side. Found to the nearest tenth.

x

572o

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Category 2 100

x = 16.2

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Category 2 200

Find the missing Side. Found to the nearest tenth.

x

1224o

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Category 2 200

x = 5.3

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Category 2 300

Find the missing Side. Found to the nearest tenth.

x

1449o

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Category 2 300

x = 12.2

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Category 2 400

Find the missing Side. Found to the nearest tenth.

x

1451o

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Category 2 400

x = 18.0

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Category 2 500

Find the missing Side. Found to the nearest tenth.

x21

65o

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Category 2 500

x = 52.0

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Category 3 100

Find the missing angle. Found to the nearest degree.

4240

?

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Category 3 100

72o

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Category 3 200

Find the missing angle. Found to the nearest degree.

1127

?

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Category 3 200

24o

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Category 3 300

Find the missing angle. Found to the nearest degree.

20

13

?

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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?

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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?

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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?

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100Category 4

x = 12.1 feet

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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?

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200Category 4

475.5 yards

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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?

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300Category 4

37.8 feet

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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.

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400Category 4

184.7 feet

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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.

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500Category 4

2057.8 feet

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Category 5 100

Cosecant A is the reciprocal in of which trigonometric function?

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100Category 5

Sine A

Csc A = 1/sin A

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200Category 5

Cotangent A is the reciprocal in of which trigonometric function?

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200Category 5

Tangent A

Cot A = 1/tan A

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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

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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