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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

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Category 1 100 Identify the hypotenuse, adjacent and opposite sides. Reference Angle C A BC

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Category 1 100 A BC Hypotenuse Opposite Adjacent

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Category 1 200 What does SOH-CAH-TOA mean?

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Category 1 200 Sine Opposite over Hypotenuse Cosine Adjacent over Hypotenuse Tangent Opposite 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 20 Cos A = 12/20 = 3/5

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Category 1 400 Write 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 B A C 36 39 15

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Category 1 500 B A C 36 39 15 sin A = 15/39 = 5/13 cos A = 36/39 = 12/13 tan A = 15/36 = 5/12

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Category 2 100 Find the missing Side. Found to the nearest tenth. x 5 72 o

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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 12 24 o

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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 14 49 o

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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 14 51 o

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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. x 21 65 o

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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. 42 40 ?

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Category 3 100 72 o

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Category 3 200 Find the missing angle. Found to the nearest degree. 11 27 ?

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Category 3 200 24 o

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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 49 o

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Category 3 400 Find the missing angle. Found to the nearest degree. 12 24 ?

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Category 3 400 30 o

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Category 3 500 Find the missing angle. Found to the nearest degree. 68 51 ?

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Category 3 500 53 o

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Category 4 100 A 15-foot ladder is leaning against a wall creating a 36 o angle. How high up the wall does the ladder reach?

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100 Category 4 x = 12.1 feet

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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?

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200 Category 4 475.5 yards

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300 Category 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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300 Category 4 37.8 feet

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400 Category 4 A boy flying a kite lets out 300 feet of string which makes an angle of 38 o with the ground. Assuming that the string is straight, how high above the ground is the kite.

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400 Category 4 184.7 feet

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500 Category 4 An airplane climbs at an angle of elevation 11 o with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet.

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500 Category 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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100 Category 5 Sine A Csc A = 1/sin A

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200 Category 5 Cotangent A is the reciprocal in of which trigonometric function?

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200 Category 5 Tangent A Cot A = 1/tan A

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300 Category 5 Secant A is the reciprocal in of which trigonometric function?

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300 Category 5 Cosine A Sec A = 1/cos A

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400 Category 5 What are two ratios we could use to represent the following ratio: a/b A BC b a c

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400 Category 5 Sin A = Cos C = a/b

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500 Category 5 What are two ratios we could use to represent the following ratio: c/a A BC b a c

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500 Category 5 Tan C = Cot A = c/a

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Then/Now You evaluated functions. (Lesson 1-1) Find values of trigonometric functions for acute angles of right triangles. Solve right triangles.

Then/Now You evaluated functions. (Lesson 1-1) Find values of trigonometric functions for acute angles of right triangles. Solve right triangles.

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