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

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

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Category A BC Hypotenuse Opposite Adjacent

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Category What does SOH-CAH-TOA mean?

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Category Sine Opposite over Hypotenuse Cosine Adjacent over Hypotenuse Tangent Opposite over Adjacent

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Category Write the following Trig ratio: Cos A B A C

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Category B A C Cos A = 12/20 = 3/5

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Category Write the following Trig ratio: Tan X X Y Z

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Category X Y Z Tan X = 16/12 = 4/3

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Category Write the following Trig ratios: sin A, cos A, tan A B A C

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

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

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Category x = 16.2

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Category Find the missing Side. Found to the nearest tenth. x o

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Category x = 5.3

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Category Find the missing Side. Found to the nearest tenth. x o

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Category x = 12.2

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Category Find the missing Side. Found to the nearest tenth. x o

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Category x = 18.0

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Category Find the missing Side. Found to the nearest tenth. x o

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Category x = 52.0

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Category Find the missing angle. Found to the nearest degree ?

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Category o

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Category Find the missing angle. Found to the nearest degree ?

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Category o

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Category Find the missing angle. Found to the nearest degree ?

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Category o

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Category Find the missing angle. Found to the nearest degree ?

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Category o

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Category Find the missing angle. Found to the nearest degree ?

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Category o

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Category 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 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 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 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 feet

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Category 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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